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Finding the Fourth Proportional to 71,921.78, 107,882.52 and 19,331.27

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Solution

The fourth proportional to 71,921.78, 107,882.52 and 19,331.27 is: 28,996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,921.78 : 107,882.52 = 19,331.27 : x
  2. Step 2: Convert to fraction form
    71,921.78/107,882.52 = 19,331.27/x
  3. Step 3: Cross multiply
    71,921.78x = 107,882.52 × 19,331.27
  4. Step 4: Simplify right side
    71,921.78x = 2,085,505,510.50
  5. Step 5: Solve for x
    x = 2,085,505,510.50/71,921.78
  6. Step 6: Final answer
    x = 28,996.86

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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.