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Finding the Fourth Proportional to 83,778.80, 125,927.40 and 82,223.60

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Solution

The fourth proportional to 83,778.80, 125,927.40 and 82,223.60 is: 123,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,778.80 : 125,927.40 = 82,223.60 : x
  2. Step 2: Convert to fraction form
    83,778.80/125,927.40 = 82,223.60/x
  3. Step 3: Cross multiply
    83,778.80x = 125,927.40 × 82,223.60
  4. Step 4: Simplify right side
    83,778.80x = 10,354,204,166.64
  5. Step 5: Solve for x
    x = 10,354,204,166.64/83,778.80
  6. Step 6: Final answer
    x = 123,589.79

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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.