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Finding the Fourth Proportional to 142,591.92, 213,801.24 and 71,431.80

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Solution

The fourth proportional to 142,591.92, 213,801.24 and 71,431.80 is: 107,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,591.92 : 213,801.24 = 71,431.80 : x
  2. Step 2: Convert to fraction form
    142,591.92/213,801.24 = 71,431.80/x
  3. Step 3: Cross multiply
    142,591.92x = 213,801.24 × 71,431.80
  4. Step 4: Simplify right side
    142,591.92x = 15,272,207,415.43
  5. Step 5: Solve for x
    x = 15,272,207,415.43/142,591.92
  6. Step 6: Final answer
    x = 107,104.30

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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.