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Finding the Fourth Proportional to 137,764.32, 206,644.32 and 75,400.80

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Solution

The fourth proportional to 137,764.32, 206,644.32 and 75,400.80 is: 113,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,764.32 : 206,644.32 = 75,400.80 : x
  2. Step 2: Convert to fraction form
    137,764.32/206,644.32 = 75,400.80/x
  3. Step 3: Cross multiply
    137,764.32x = 206,644.32 × 75,400.80
  4. Step 4: Simplify right side
    137,764.32x = 15,581,147,043.46
  5. Step 5: Solve for x
    x = 15,581,147,043.46/137,764.32
  6. Step 6: Final answer
    x = 113,100.02

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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.