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Finding the Fourth Proportional to 81,911.90, 122,867.90 and 22,747.58

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Solution

The fourth proportional to 81,911.90, 122,867.90 and 22,747.58 is: 34,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,911.90 : 122,867.90 = 22,747.58 : x
  2. Step 2: Convert to fraction form
    81,911.90/122,867.90 = 22,747.58/x
  3. Step 3: Cross multiply
    81,911.90x = 122,867.90 × 22,747.58
  4. Step 4: Simplify right side
    81,911.90x = 2,794,947,384.68
  5. Step 5: Solve for x
    x = 2,794,947,384.68/81,911.90
  6. Step 6: Final answer
    x = 34,121.38

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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.