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Finding the Fourth Proportional to 81,773.26, 112,826.95 and 49,930.54

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Solution

The fourth proportional to 81,773.26, 112,826.95 and 49,930.54 is: 68,891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,773.26 : 112,826.95 = 49,930.54 : x
  2. Step 2: Convert to fraction form
    81,773.26/112,826.95 = 49,930.54/x
  3. Step 3: Cross multiply
    81,773.26x = 112,826.95 × 49,930.54
  4. Step 4: Simplify right side
    81,773.26x = 5,633,510,540.05
  5. Step 5: Solve for x
    x = 5,633,510,540.05/81,773.26
  6. Step 6: Final answer
    x = 68,891.84

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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.