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Finding the Fourth Proportional to 81,540.52, 122,348.22 and 48,326.44

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Solution

The fourth proportional to 81,540.52, 122,348.22 and 48,326.44 is: 72,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,540.52 : 122,348.22 = 48,326.44 : x
  2. Step 2: Convert to fraction form
    81,540.52/122,348.22 = 48,326.44/x
  3. Step 3: Cross multiply
    81,540.52x = 122,348.22 × 48,326.44
  4. Step 4: Simplify right side
    81,540.52x = 5,912,653,912.94
  5. Step 5: Solve for x
    x = 5,912,653,912.94/81,540.52
  6. Step 6: Final answer
    x = 72,511.85

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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.