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Finding the Fourth Proportional to 138,067.22, 206,768.67 and 78,722.97

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Solution

The fourth proportional to 138,067.22, 206,768.67 and 78,722.97 is: 117,895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,067.22 : 206,768.67 = 78,722.97 : x
  2. Step 2: Convert to fraction form
    138,067.22/206,768.67 = 78,722.97/x
  3. Step 3: Cross multiply
    138,067.22x = 206,768.67 × 78,722.97
  4. Step 4: Simplify right side
    138,067.22x = 16,277,443,805.35
  5. Step 5: Solve for x
    x = 16,277,443,805.35/138,067.22
  6. Step 6: Final answer
    x = 117,895.06

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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.