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Finding the Fourth Proportional to 129,414.64, 194,387.64 and 85,104.40

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Solution

The fourth proportional to 129,414.64, 194,387.64 and 85,104.40 is: 127,831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,414.64 : 194,387.64 = 85,104.40 : x
  2. Step 2: Convert to fraction form
    129,414.64/194,387.64 = 85,104.40/x
  3. Step 3: Cross multiply
    129,414.64x = 194,387.64 × 85,104.40
  4. Step 4: Simplify right side
    129,414.64x = 16,543,243,469.62
  5. Step 5: Solve for x
    x = 16,543,243,469.62/129,414.64
  6. Step 6: Final answer
    x = 127,831.31

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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.