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Finding the Fourth Proportional to 127,553.64, 191,243.76 and 71,432.28

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Solution

The fourth proportional to 127,553.64, 191,243.76 and 71,432.28 is: 107,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,553.64 : 191,243.76 = 71,432.28 : x
  2. Step 2: Convert to fraction form
    127,553.64/191,243.76 = 71,432.28/x
  3. Step 3: Cross multiply
    127,553.64x = 191,243.76 × 71,432.28
  4. Step 4: Simplify right side
    127,553.64x = 13,660,977,812.57
  5. Step 5: Solve for x
    x = 13,660,977,812.57/127,553.64
  6. Step 6: Final answer
    x = 107,099.87

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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.