Can a lower tier frat mix with higher tier sorority?

[boyyy]

Hello everyone,

I just help start a fraternity on my large urban campus where greek life dominates the social scene with around 27 active fraternities 13 sororities. While we are not the smallest fraternity and are rapidly growing to 40 guys, we are starting to develop relationships with some lower sororities but are doing well considering we just started and do not have a house. How hard would it be to develop relationships with the higher tier ones especially because we are lower tier and they may think that their "status" drops? What are some ways to start this relationship?

Thanks