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Finding the Fourth Proportional to 129,744.60, 194,616.90 and 98,251.80

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Solution

The fourth proportional to 129,744.60, 194,616.90 and 98,251.80 is: 147,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,744.60 : 194,616.90 = 98,251.80 : x
  2. Step 2: Convert to fraction form
    129,744.60/194,616.90 = 98,251.80/x
  3. Step 3: Cross multiply
    129,744.60x = 194,616.90 × 98,251.80
  4. Step 4: Simplify right side
    129,744.60x = 19,121,460,735.42
  5. Step 5: Solve for x
    x = 19,121,460,735.42/129,744.60
  6. Step 6: Final answer
    x = 147,377.70

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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.