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Finding the Fourth Proportional to 129,419.70, 194,157.15 and 73,286.10

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Solution

The fourth proportional to 129,419.70, 194,157.15 and 73,286.10 is: 109,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,419.70 : 194,157.15 = 73,286.10 : x
  2. Step 2: Convert to fraction form
    129,419.70/194,157.15 = 73,286.10/x
  3. Step 3: Cross multiply
    129,419.70x = 194,157.15 × 73,286.10
  4. Step 4: Simplify right side
    129,419.70x = 14,229,020,310.62
  5. Step 5: Solve for x
    x = 14,229,020,310.62/129,419.70
  6. Step 6: Final answer
    x = 109,944.78

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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.