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Finding the Fourth Proportional to 129,366, 194,049.89 and 49,382.40

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Solution

The fourth proportional to 129,366, 194,049.89 and 49,382.40 is: 74,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,366 : 194,049.89 = 49,382.40 : x
  2. Step 2: Convert to fraction form
    129,366/194,049.89 = 49,382.40/x
  3. Step 3: Cross multiply
    129,366x = 194,049.89 × 49,382.40
  4. Step 4: Simplify right side
    129,366x = 9,582,649,041.02
  5. Step 5: Solve for x
    x = 9,582,649,041.02/129,366
  6. Step 6: Final answer
    x = 74,073.94

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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.