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Finding the Fourth Proportional to 127,414.88, 191,127.92 and 38,680.80

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Solution

The fourth proportional to 127,414.88, 191,127.92 and 38,680.80 is: 58,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,414.88 : 191,127.92 = 38,680.80 : x
  2. Step 2: Convert to fraction form
    127,414.88/191,127.92 = 38,680.80/x
  3. Step 3: Cross multiply
    127,414.88x = 191,127.92 × 38,680.80
  4. Step 4: Simplify right side
    127,414.88x = 7,392,980,847.94
  5. Step 5: Solve for x
    x = 7,392,980,847.94/127,414.88
  6. Step 6: Final answer
    x = 58,022.90

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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.