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Finding the Fourth Proportional to 138,198.65, 206,965.77 and 78,854.40

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Solution

The fourth proportional to 138,198.65, 206,965.77 and 78,854.40 is: 118,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,198.65 : 206,965.77 = 78,854.40 : x
  2. Step 2: Convert to fraction form
    138,198.65/206,965.77 = 78,854.40/x
  3. Step 3: Cross multiply
    138,198.65x = 206,965.77 × 78,854.40
  4. Step 4: Simplify right side
    138,198.65x = 16,320,161,613.89
  5. Step 5: Solve for x
    x = 16,320,161,613.89/138,198.65
  6. Step 6: Final answer
    x = 118,092.05

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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.