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Finding the Fourth Proportional to 171,347.60, 257,023.32 and 71,522.96

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Solution

The fourth proportional to 171,347.60, 257,023.32 and 71,522.96 is: 107,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,347.60 : 257,023.32 = 71,522.96 : x
  2. Step 2: Convert to fraction form
    171,347.60/257,023.32 = 71,522.96/x
  3. Step 3: Cross multiply
    171,347.60x = 257,023.32 × 71,522.96
  4. Step 4: Simplify right side
    171,347.60x = 18,383,068,635.43
  5. Step 5: Solve for x
    x = 18,383,068,635.43/171,347.60
  6. Step 6: Final answer
    x = 107,285.24

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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.