Virtual servers provide an abstraction layer to exploit the heterogeneity of peers (or nodes) that participate in a peer-to-peer (P2P) network based on the distributed hash table (DHT). In this paper, we present a load-balancedDHT network based on virtual servers. In our proposal, participating peers accept loads proportional to their capacities. By sampling the capacities of peers and workloads of virtual servers in the system, our design approximates the probability distributions for the capacities and workloads. Each node is based on the probability distributions to match their local virtual servers and other peers. Our proposal is developed through rigorous performance analysis, and is evaluated in extensive simulations.