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Finding the Fourth Proportional to 171,572.87, 257,327.70 and 71,706.24

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Solution

The fourth proportional to 171,572.87, 257,327.70 and 71,706.24 is: 107,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,572.87 : 257,327.70 = 71,706.24 : x
  2. Step 2: Convert to fraction form
    171,572.87/257,327.70 = 71,706.24/x
  3. Step 3: Cross multiply
    171,572.87x = 257,327.70 × 71,706.24
  4. Step 4: Simplify right side
    171,572.87x = 18,452,001,814.85
  5. Step 5: Solve for x
    x = 18,452,001,814.85/171,572.87
  6. Step 6: Final answer
    x = 107,546.15

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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.