While I agree (to a degree) that power and entitlement have something to do with rape, I disagree with you about it being a phenomenon of rich popular guys.
FBI crime statistics disagree with you too.
At the core, a rapist is somebody who feels entitled to obtaining sex from a woman, without needing her consent, in a similar way that a robber feels entitled to someone else's money without the robbed person's consent. In both cases, violent stranger rape and violent robbery is disproportionately committed by men on the bottom rungs of the status ladder
There are boys from wealthy families who feel themselves entitled to sex, just as there are boys from wealthy families who have no problems committing embezzlement or other white collar crimes when what they earn is not equal to what they think themselves entitled to. (And the 25K embezzlement conviction of the other dancer detailed on a previous thread indicates that white collar crime is not restricted to those from wealthy backgrounds)
Also, just because somebody is in a fraternity does not mean that they are from rich or privileged backgrounds. I was in a frat back in college, with my gross family income being in the bottom 20%. (Granted, the frat bore a higher resemblance to Animal House than Skull and Bones...)