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Finding the Fourth Proportional to 129,708, 194,310.24 and 85,199.70

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Solution

The fourth proportional to 129,708, 194,310.24 and 85,199.70 is: 127,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,708 : 194,310.24 = 85,199.70 : x
  2. Step 2: Convert to fraction form
    129,708/194,310.24 = 85,199.70/x
  3. Step 3: Cross multiply
    129,708x = 194,310.24 × 85,199.70
  4. Step 4: Simplify right side
    129,708x = 16,555,174,154.93
  5. Step 5: Solve for x
    x = 16,555,174,154.93/129,708
  6. Step 6: Final answer
    x = 127,634.18

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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.