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Finding the Fourth Proportional to 81,876.70, 122,815.05 and 22,712.37

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Solution

The fourth proportional to 81,876.70, 122,815.05 and 22,712.37 is: 34,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,876.70 : 122,815.05 = 22,712.37 : x
  2. Step 2: Convert to fraction form
    81,876.70/122,815.05 = 22,712.37/x
  3. Step 3: Cross multiply
    81,876.70x = 122,815.05 × 22,712.37
  4. Step 4: Simplify right side
    81,876.70x = 2,789,420,857.17
  5. Step 5: Solve for x
    x = 2,789,420,857.17/81,876.70
  6. Step 6: Final answer
    x = 34,068.56

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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.