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Finding the Fourth Proportional to 137,773.25, 206,467.43 and 74,456.88

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Solution

The fourth proportional to 137,773.25, 206,467.43 and 74,456.88 is: 111,581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,773.25 : 206,467.43 = 74,456.88 : x
  2. Step 2: Convert to fraction form
    137,773.25/206,467.43 = 74,456.88/x
  3. Step 3: Cross multiply
    137,773.25x = 206,467.43 × 74,456.88
  4. Step 4: Simplify right side
    137,773.25x = 15,372,920,287.13
  5. Step 5: Solve for x
    x = 15,372,920,287.13/137,773.25
  6. Step 6: Final answer
    x = 111,581.31

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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.