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Finding the Fourth Proportional to 129,711.40, 194,259.90 and 87,932.20

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Solution

The fourth proportional to 129,711.40, 194,259.90 and 87,932.20 is: 131,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,711.40 : 194,259.90 = 87,932.20 : x
  2. Step 2: Convert to fraction form
    129,711.40/194,259.90 = 87,932.20/x
  3. Step 3: Cross multiply
    129,711.40x = 194,259.90 × 87,932.20
  4. Step 4: Simplify right side
    129,711.40x = 17,081,700,378.78
  5. Step 5: Solve for x
    x = 17,081,700,378.78/129,711.40
  6. Step 6: Final answer
    x = 131,690.05

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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.