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Finding the Fourth Proportional to 171,449.46, 257,191.20 and 71,640.86

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Solution

The fourth proportional to 171,449.46, 257,191.20 and 71,640.86 is: 107,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,449.46 : 257,191.20 = 71,640.86 : x
  2. Step 2: Convert to fraction form
    171,449.46/257,191.20 = 71,640.86/x
  3. Step 3: Cross multiply
    171,449.46x = 257,191.20 × 71,640.86
  4. Step 4: Simplify right side
    171,449.46x = 18,425,397,466.48
  5. Step 5: Solve for x
    x = 18,425,397,466.48/171,449.46
  6. Step 6: Final answer
    x = 107,468.39

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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.