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Finding the Fourth Proportional to 129,055, 193,589.79 and 45,949

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Solution

The fourth proportional to 129,055, 193,589.79 and 45,949 is: 68,926.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,055 : 193,589.79 = 45,949 : x
  2. Step 2: Convert to fraction form
    129,055/193,589.79 = 45,949/x
  3. Step 3: Cross multiply
    129,055x = 193,589.79 × 45,949
  4. Step 4: Simplify right side
    129,055x = 8,895,257,260.71
  5. Step 5: Solve for x
    x = 8,895,257,260.71/129,055
  6. Step 6: Final answer
    x = 68,926.10

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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.