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Finding the Fourth Proportional to 206,367.12, 284,665.95 and 129,764.97

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Solution

The fourth proportional to 206,367.12, 284,665.95 and 129,764.97 is: 178,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,367.12 : 284,665.95 = 129,764.97 : x
  2. Step 2: Convert to fraction form
    206,367.12/284,665.95 = 129,764.97/x
  3. Step 3: Cross multiply
    206,367.12x = 284,665.95 × 129,764.97
  4. Step 4: Simplify right side
    206,367.12x = 36,939,668,461.77
  5. Step 5: Solve for x
    x = 36,939,668,461.77/206,367.12
  6. Step 6: Final answer
    x = 178,999.78

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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.