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Finding the Fourth Proportional to 81,906.30, 122,859.45 and 22,742.55

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Solution

The fourth proportional to 81,906.30, 122,859.45 and 22,742.55 is: 34,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,906.30 : 122,859.45 = 22,742.55 : x
  2. Step 2: Convert to fraction form
    81,906.30/122,859.45 = 22,742.55/x
  3. Step 3: Cross multiply
    81,906.30x = 122,859.45 × 22,742.55
  4. Step 4: Simplify right side
    81,906.30x = 2,794,137,184.60
  5. Step 5: Solve for x
    x = 2,794,137,184.60/81,906.30
  6. Step 6: Final answer
    x = 34,113.83

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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.