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Finding the Fourth Proportional to 81,908.50, 122,805.74 and 36,291.44

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Solution

The fourth proportional to 81,908.50, 122,805.74 and 36,291.44 is: 54,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,908.50 : 122,805.74 = 36,291.44 : x
  2. Step 2: Convert to fraction form
    81,908.50/122,805.74 = 36,291.44/x
  3. Step 3: Cross multiply
    81,908.50x = 122,805.74 × 36,291.44
  4. Step 4: Simplify right side
    81,908.50x = 4,456,797,144.87
  5. Step 5: Solve for x
    x = 4,456,797,144.87/81,908.50
  6. Step 6: Final answer
    x = 54,411.90

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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.