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Finding the Fourth Proportional to 137,174.78, 205,781.89 and 42,412.35

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Solution

The fourth proportional to 137,174.78, 205,781.89 and 42,412.35 is: 63,624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,174.78 : 205,781.89 = 42,412.35 : x
  2. Step 2: Convert to fraction form
    137,174.78/205,781.89 = 42,412.35/x
  3. Step 3: Cross multiply
    137,174.78x = 205,781.89 × 42,412.35
  4. Step 4: Simplify right side
    137,174.78x = 8,727,693,330.28
  5. Step 5: Solve for x
    x = 8,727,693,330.28/137,174.78
  6. Step 6: Final answer
    x = 63,624.62

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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.