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Finding the Fourth Proportional to 171,432.53, 257,189.85 and 71,537.15

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Solution

The fourth proportional to 171,432.53, 257,189.85 and 71,537.15 is: 107,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,432.53 : 257,189.85 = 71,537.15 : x
  2. Step 2: Convert to fraction form
    171,432.53/257,189.85 = 71,537.15/x
  3. Step 3: Cross multiply
    171,432.53x = 257,189.85 × 71,537.15
  4. Step 4: Simplify right side
    171,432.53x = 18,398,629,520.90
  5. Step 5: Solve for x
    x = 18,398,629,520.90/171,432.53
  6. Step 6: Final answer
    x = 107,322.86

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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.