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Finding the Fourth Proportional to 137,169.38, 205,773.72 and 42,407.80

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Solution

The fourth proportional to 137,169.38, 205,773.72 and 42,407.80 is: 63,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,169.38 : 205,773.72 = 42,407.80 : x
  2. Step 2: Convert to fraction form
    137,169.38/205,773.72 = 42,407.80/x
  3. Step 3: Cross multiply
    137,169.38x = 205,773.72 × 42,407.80
  4. Step 4: Simplify right side
    137,169.38x = 8,726,411,247.03
  5. Step 5: Solve for x
    x = 8,726,411,247.03/137,169.38
  6. Step 6: Final answer
    x = 63,617.78

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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.