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Finding the Fourth Proportional to 57,071.86, 78,754.89 and 31,916.50

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Solution

The fourth proportional to 57,071.86, 78,754.89 and 31,916.50 is: 44,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,071.86 : 78,754.89 = 31,916.50 : x
  2. Step 2: Convert to fraction form
    57,071.86/78,754.89 = 31,916.50/x
  3. Step 3: Cross multiply
    57,071.86x = 78,754.89 × 31,916.50
  4. Step 4: Simplify right side
    57,071.86x = 2,513,580,446.69
  5. Step 5: Solve for x
    x = 2,513,580,446.69/57,071.86
  6. Step 6: Final answer
    x = 44,042.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.