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Finding the Fourth Proportional to 81,311.87, 112,212 and 49,046.33

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Solution

The fourth proportional to 81,311.87, 112,212 and 49,046.33 is: 67,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,311.87 : 112,212 = 49,046.33 : x
  2. Step 2: Convert to fraction form
    81,311.87/112,212 = 49,046.33/x
  3. Step 3: Cross multiply
    81,311.87x = 112,212 × 49,046.33
  4. Step 4: Simplify right side
    81,311.87x = 5,503,587,062.49
  5. Step 5: Solve for x
    x = 5,503,587,062.49/81,311.87
  6. Step 6: Final answer
    x = 67,684.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.