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Finding the Fourth Proportional to 137,728.40, 206,198.40 and 84,781.40

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Solution

The fourth proportional to 137,728.40, 206,198.40 and 84,781.40 is: 126,929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,728.40 : 206,198.40 = 84,781.40 : x
  2. Step 2: Convert to fraction form
    137,728.40/206,198.40 = 84,781.40/x
  3. Step 3: Cross multiply
    137,728.40x = 206,198.40 × 84,781.40
  4. Step 4: Simplify right side
    137,728.40x = 17,481,789,029.76
  5. Step 5: Solve for x
    x = 17,481,789,029.76/137,728.40
  6. Step 6: Final answer
    x = 126,929.44

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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.