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Finding the Fourth Proportional to 129,656, 194,516.82 and 36,161.75

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Solution

The fourth proportional to 129,656, 194,516.82 and 36,161.75 is: 54,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,656 : 194,516.82 = 36,161.75 : x
  2. Step 2: Convert to fraction form
    129,656/194,516.82 = 36,161.75/x
  3. Step 3: Cross multiply
    129,656x = 194,516.82 × 36,161.75
  4. Step 4: Simplify right side
    129,656x = 7,034,068,615.64
  5. Step 5: Solve for x
    x = 7,034,068,615.64/129,656
  6. Step 6: Final answer
    x = 54,251.78

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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.