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Finding the Fourth Proportional to 206,332.85, 309,472.92 and 79,886.59

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Solution

The fourth proportional to 206,332.85, 309,472.92 and 79,886.59 is: 119,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,332.85 : 309,472.92 = 79,886.59 : x
  2. Step 2: Convert to fraction form
    206,332.85/309,472.92 = 79,886.59/x
  3. Step 3: Cross multiply
    206,332.85x = 309,472.92 × 79,886.59
  4. Step 4: Simplify right side
    206,332.85x = 24,722,735,502.46
  5. Step 5: Solve for x
    x = 24,722,735,502.46/206,332.85
  6. Step 6: Final answer
    x = 119,819.68

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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.