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Finding the Fourth Proportional to 129,917.82, 194,889.12 and 36,423.30

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Solution

The fourth proportional to 129,917.82, 194,889.12 and 36,423.30 is: 54,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,917.82 : 194,889.12 = 36,423.30 : x
  2. Step 2: Convert to fraction form
    129,917.82/194,889.12 = 36,423.30/x
  3. Step 3: Cross multiply
    129,917.82x = 194,889.12 × 36,423.30
  4. Step 4: Simplify right side
    129,917.82x = 7,098,504,884.50
  5. Step 5: Solve for x
    x = 7,098,504,884.50/129,917.82
  6. Step 6: Final answer
    x = 54,638.42

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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.