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Finding the Fourth Proportional to 81,906.45, 122,859.60 and 22,742.10

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Solution

The fourth proportional to 81,906.45, 122,859.60 and 22,742.10 is: 34,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,906.45 : 122,859.60 = 22,742.10 : x
  2. Step 2: Convert to fraction form
    81,906.45/122,859.60 = 22,742.10/x
  3. Step 3: Cross multiply
    81,906.45x = 122,859.60 × 22,742.10
  4. Step 4: Simplify right side
    81,906.45x = 2,794,085,309.16
  5. Step 5: Solve for x
    x = 2,794,085,309.16/81,906.45
  6. Step 6: Final answer
    x = 34,113.13

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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.