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Finding the Fourth Proportional to 83,906.70, 126,005.85 and 81,282.30

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Solution

The fourth proportional to 83,906.70, 126,005.85 and 81,282.30 is: 122,064.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,906.70 : 126,005.85 = 81,282.30 : x
  2. Step 2: Convert to fraction form
    83,906.70/126,005.85 = 81,282.30/x
  3. Step 3: Cross multiply
    83,906.70x = 126,005.85 × 81,282.30
  4. Step 4: Simplify right side
    83,906.70x = 10,242,045,301.46
  5. Step 5: Solve for x
    x = 10,242,045,301.46/83,906.70
  6. Step 6: Final answer
    x = 122,064.69

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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.