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Finding the Fourth Proportional to 81,845, 122,767.14 and 22,680.50

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Solution

The fourth proportional to 81,845, 122,767.14 and 22,680.50 is: 34,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,845 : 122,767.14 = 22,680.50 : x
  2. Step 2: Convert to fraction form
    81,845/122,767.14 = 22,680.50/x
  3. Step 3: Cross multiply
    81,845x = 122,767.14 × 22,680.50
  4. Step 4: Simplify right side
    81,845x = 2,784,420,118.77
  5. Step 5: Solve for x
    x = 2,784,420,118.77/81,845
  6. Step 6: Final answer
    x = 34,020.65

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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.