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Finding the Fourth Proportional to 129,770.40, 194,348.40 and 87,991.20

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Solution

The fourth proportional to 129,770.40, 194,348.40 and 87,991.20 is: 131,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,770.40 : 194,348.40 = 87,991.20 : x
  2. Step 2: Convert to fraction form
    129,770.40/194,348.40 = 87,991.20/x
  3. Step 3: Cross multiply
    129,770.40x = 194,348.40 × 87,991.20
  4. Step 4: Simplify right side
    129,770.40x = 17,100,948,934.08
  5. Step 5: Solve for x
    x = 17,100,948,934.08/129,770.40
  6. Step 6: Final answer
    x = 131,778.50

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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.