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Finding the Fourth Proportional to 81,806.10, 122,709.15 and 29,217.30

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Solution

The fourth proportional to 81,806.10, 122,709.15 and 29,217.30 is: 43,825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,806.10 : 122,709.15 = 29,217.30 : x
  2. Step 2: Convert to fraction form
    81,806.10/122,709.15 = 29,217.30/x
  3. Step 3: Cross multiply
    81,806.10x = 122,709.15 × 29,217.30
  4. Step 4: Simplify right side
    81,806.10x = 3,585,230,048.30
  5. Step 5: Solve for x
    x = 3,585,230,048.30/81,806.10
  6. Step 6: Final answer
    x = 43,825.95

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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.