Create a (local) repository and use yum to have it resolve the dependencies for you

Summarized and further minimized (not ideal, but quickest):

1. Create a directory for you local repository, e.g. /home/user/repo.
2. Move the RPMs into that directory.
3. Fix some ownership and filesystem permissions:
   

   # chown -R root.root /home/user/repo
   

4. Install the createrepo package if not installed yet, and run
   

   # createrepo /home/user/repo
   # chmod -R o-w+r /home/user/repo
   

5. Create a repository configuration file, e.g. /etc/yum.repos.d/myrepo.repo containing
   

   [local]
   name=My Awesome Repo
   baseurl=file:///home/user/repo
   enabled=1
   gpgcheck=0
   

6. Install your package using
   

   # yum install packagename