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Finding the Fourth Proportional to 138,198.15, 206,965.02 and 78,853.90

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Solution

The fourth proportional to 138,198.15, 206,965.02 and 78,853.90 is: 118,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,198.15 : 206,965.02 = 78,853.90 : x
  2. Step 2: Convert to fraction form
    138,198.15/206,965.02 = 78,853.90/x
  3. Step 3: Cross multiply
    138,198.15x = 206,965.02 × 78,853.90
  4. Step 4: Simplify right side
    138,198.15x = 16,319,998,990.58
  5. Step 5: Solve for x
    x = 16,319,998,990.58/138,198.15
  6. Step 6: Final answer
    x = 118,091.30

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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.