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Finding the Fourth Proportional to 131,793.80, 181,863.87 and 78,069.74

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Solution

The fourth proportional to 131,793.80, 181,863.87 and 78,069.74 is: 107,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,793.80 : 181,863.87 = 78,069.74 : x
  2. Step 2: Convert to fraction form
    131,793.80/181,863.87 = 78,069.74/x
  3. Step 3: Cross multiply
    131,793.80x = 181,863.87 × 78,069.74
  4. Step 4: Simplify right side
    131,793.80x = 14,198,065,046.29
  5. Step 5: Solve for x
    x = 14,198,065,046.29/131,793.80
  6. Step 6: Final answer
    x = 107,729.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.