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Finding the Fourth Proportional to 57,920.43, 86,887.80 and 20,472.78

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Solution

The fourth proportional to 57,920.43, 86,887.80 and 20,472.78 is: 30,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,920.43 : 86,887.80 = 20,472.78 : x
  2. Step 2: Convert to fraction form
    57,920.43/86,887.80 = 20,472.78/x
  3. Step 3: Cross multiply
    57,920.43x = 86,887.80 × 20,472.78
  4. Step 4: Simplify right side
    57,920.43x = 1,778,835,053.77
  5. Step 5: Solve for x
    x = 1,778,835,053.77/57,920.43
  6. Step 6: Final answer
    x = 30,711.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.