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Finding the Fourth Proportional to 127,691.32, 191,472.90 and 74,400.52

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Solution

The fourth proportional to 127,691.32, 191,472.90 and 74,400.52 is: 111,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,691.32 : 191,472.90 = 74,400.52 : x
  2. Step 2: Convert to fraction form
    127,691.32/191,472.90 = 74,400.52/x
  3. Step 3: Cross multiply
    127,691.32x = 191,472.90 × 74,400.52
  4. Step 4: Simplify right side
    127,691.32x = 14,245,683,325.91
  5. Step 5: Solve for x
    x = 14,245,683,325.91/127,691.32
  6. Step 6: Final answer
    x = 111,563.44

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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.