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Finding the Fourth Proportional to 129,704.64, 178,965.18 and 78,744.20

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Solution

The fourth proportional to 129,704.64, 178,965.18 and 78,744.20 is: 108,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,704.64 : 178,965.18 = 78,744.20 : x
  2. Step 2: Convert to fraction form
    129,704.64/178,965.18 = 78,744.20/x
  3. Step 3: Cross multiply
    129,704.64x = 178,965.18 × 78,744.20
  4. Step 4: Simplify right side
    129,704.64x = 14,092,469,926.96
  5. Step 5: Solve for x
    x = 14,092,469,926.96/129,704.64
  6. Step 6: Final answer
    x = 108,650.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.