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Finding the Fourth Proportional to 206,371.59, 284,672.14 and 129,769.45

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Solution

The fourth proportional to 206,371.59, 284,672.14 and 129,769.45 is: 179,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,371.59 : 284,672.14 = 129,769.45 : x
  2. Step 2: Convert to fraction form
    206,371.59/284,672.14 = 129,769.45/x
  3. Step 3: Cross multiply
    206,371.59x = 284,672.14 × 129,769.45
  4. Step 4: Simplify right side
    206,371.59x = 36,941,746,389.28
  5. Step 5: Solve for x
    x = 36,941,746,389.28/206,371.59
  6. Step 6: Final answer
    x = 179,005.97

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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.