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Finding the Fourth Proportional to 81,813.08, 122,713.13 and 29,217.08

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Solution

The fourth proportional to 81,813.08, 122,713.13 and 29,217.08 is: 43,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,813.08 : 122,713.13 = 29,217.08 : x
  2. Step 2: Convert to fraction form
    81,813.08/122,713.13 = 29,217.08/x
  3. Step 3: Cross multiply
    81,813.08x = 122,713.13 × 29,217.08
  4. Step 4: Simplify right side
    81,813.08x = 3,585,318,576.61
  5. Step 5: Solve for x
    x = 3,585,318,576.61/81,813.08
  6. Step 6: Final answer
    x = 43,823.30

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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.