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Finding the Fourth Proportional to 81,913.92, 122,892.34 and 25,751.76

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Solution

The fourth proportional to 81,913.92, 122,892.34 and 25,751.76 is: 38,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,913.92 : 122,892.34 = 25,751.76 : x
  2. Step 2: Convert to fraction form
    81,913.92/122,892.34 = 25,751.76/x
  3. Step 3: Cross multiply
    81,913.92x = 122,892.34 × 25,751.76
  4. Step 4: Simplify right side
    81,913.92x = 3,164,694,045.52
  5. Step 5: Solve for x
    x = 3,164,694,045.52/81,913.92
  6. Step 6: Final answer
    x = 38,634.39

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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.