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Finding the Fourth Proportional to 81,906.70, 122,846.36 and 22,748.36

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Solution

The fourth proportional to 81,906.70, 122,846.36 and 22,748.36 is: 34,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,906.70 : 122,846.36 = 22,748.36 : x
  2. Step 2: Convert to fraction form
    81,906.70/122,846.36 = 22,748.36/x
  3. Step 3: Cross multiply
    81,906.70x = 122,846.36 × 22,748.36
  4. Step 4: Simplify right side
    81,906.70x = 2,794,553,221.97
  5. Step 5: Solve for x
    x = 2,794,553,221.97/81,906.70
  6. Step 6: Final answer
    x = 34,118.74

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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.