 Progeria is caused by a gene defect in the gene LMNA, coding for the nuclear protein lamin A. Lamin A is normally expressed by most differentiated cells, and requires posttranslational farnesylation to incorporate into the nuclear membrane. This trial proposes to use three agents zoledronic acid, pravastatin, and lonafarnib to inhibit farnesylation of abnormal lamin, the disease causing protein in Progeria. The primary objective of this study is to evaluate the feasibility of administering intravenous zoledronic acid, oral pravastatin and oral lonafarnib, to patients wtih Progeria for a minimum of 4 weeks. 