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Finding the Fourth Proportional to 129,891.70, 194,910.45 and 54,999.10

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Solution

The fourth proportional to 129,891.70, 194,910.45 and 54,999.10 is: 82,529.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,891.70 : 194,910.45 = 54,999.10 : x
  2. Step 2: Convert to fraction form
    129,891.70/194,910.45 = 54,999.10/x
  3. Step 3: Cross multiply
    129,891.70x = 194,910.45 × 54,999.10
  4. Step 4: Simplify right side
    129,891.70x = 10,719,899,330.60
  5. Step 5: Solve for x
    x = 10,719,899,330.60/129,891.70
  6. Step 6: Final answer
    x = 82,529.52

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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.