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Finding the Fourth Proportional to 137,691.33, 206,344.77 and 74,374.94

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Solution

The fourth proportional to 137,691.33, 206,344.77 and 74,374.94 is: 111,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,691.33 : 206,344.77 = 74,374.94 : x
  2. Step 2: Convert to fraction form
    137,691.33/206,344.77 = 74,374.94/x
  3. Step 3: Cross multiply
    137,691.33x = 206,344.77 × 74,374.94
  4. Step 4: Simplify right side
    137,691.33x = 15,346,880,125.02
  5. Step 5: Solve for x
    x = 15,346,880,125.02/137,691.33
  6. Step 6: Final answer
    x = 111,458.58

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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.