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Finding the Fourth Proportional to 206,424.38, 284,842.87 and 115,761.69

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Solution

The fourth proportional to 206,424.38, 284,842.87 and 115,761.69 is: 159,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,424.38 : 284,842.87 = 115,761.69 : x
  2. Step 2: Convert to fraction form
    206,424.38/284,842.87 = 115,761.69/x
  3. Step 3: Cross multiply
    206,424.38x = 284,842.87 × 115,761.69
  4. Step 4: Simplify right side
    206,424.38x = 32,973,891,726.25
  5. Step 5: Solve for x
    x = 32,973,891,726.25/206,424.38
  6. Step 6: Final answer
    x = 159,738.36

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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.