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Finding the Fourth Proportional to 137,781.26, 206,479.42 and 74,464.88

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Solution

The fourth proportional to 137,781.26, 206,479.42 and 74,464.88 is: 111,593.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,781.26 : 206,479.42 = 74,464.88 : x
  2. Step 2: Convert to fraction form
    137,781.26/206,479.42 = 74,464.88/x
  3. Step 3: Cross multiply
    137,781.26x = 206,479.42 × 74,464.88
  4. Step 4: Simplify right side
    137,781.26x = 15,375,465,232.77
  5. Step 5: Solve for x
    x = 15,375,465,232.77/137,781.26
  6. Step 6: Final answer
    x = 111,593.30

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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.