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Finding the Fourth Proportional to 129,863.28, 194,821.38 and 58,751.76

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Solution

The fourth proportional to 129,863.28, 194,821.38 and 58,751.76 is: 88,139.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,863.28 : 194,821.38 = 58,751.76 : x
  2. Step 2: Convert to fraction form
    129,863.28/194,821.38 = 58,751.76/x
  3. Step 3: Cross multiply
    129,863.28x = 194,821.38 × 58,751.76
  4. Step 4: Simplify right side
    129,863.28x = 11,446,098,960.63
  5. Step 5: Solve for x
    x = 11,446,098,960.63/129,863.28
  6. Step 6: Final answer
    x = 88,139.61

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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.