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Finding the Fourth Proportional to 129,398.50, 178,572.66 and 72,809.88

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Solution

The fourth proportional to 129,398.50, 178,572.66 and 72,809.88 is: 100,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,398.50 : 178,572.66 = 72,809.88 : x
  2. Step 2: Convert to fraction form
    129,398.50/178,572.66 = 72,809.88/x
  3. Step 3: Cross multiply
    129,398.50x = 178,572.66 × 72,809.88
  4. Step 4: Simplify right side
    129,398.50x = 13,001,853,945.88
  5. Step 5: Solve for x
    x = 13,001,853,945.88/129,398.50
  6. Step 6: Final answer
    x = 100,479.17

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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.