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Finding the Fourth Proportional to 137,780.26, 206,477.84 and 74,463.86

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Solution

The fourth proportional to 137,780.26, 206,477.84 and 74,463.86 is: 111,591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,780.26 : 206,477.84 = 74,463.86 : x
  2. Step 2: Convert to fraction form
    137,780.26/206,477.84 = 74,463.86/x
  3. Step 3: Cross multiply
    137,780.26x = 206,477.84 × 74,463.86
  4. Step 4: Simplify right side
    137,780.26x = 15,375,137,673.22
  5. Step 5: Solve for x
    x = 15,375,137,673.22/137,780.26
  6. Step 6: Final answer
    x = 111,591.73

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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.