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Finding the Fourth Proportional to 129,882.70, 194,809.65 and 106,468.30

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Solution

The fourth proportional to 129,882.70, 194,809.65 and 106,468.30 is: 159,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,882.70 : 194,809.65 = 106,468.30 : x
  2. Step 2: Convert to fraction form
    129,882.70/194,809.65 = 106,468.30/x
  3. Step 3: Cross multiply
    129,882.70x = 194,809.65 × 106,468.30
  4. Step 4: Simplify right side
    129,882.70x = 20,741,052,259.10
  5. Step 5: Solve for x
    x = 20,741,052,259.10/129,882.70
  6. Step 6: Final answer
    x = 159,690.65

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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.