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Finding the Fourth Proportional to 81,883.80, 122,811.96 and 22,725.48

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Solution

The fourth proportional to 81,883.80, 122,811.96 and 22,725.48 is: 34,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,883.80 : 122,811.96 = 22,725.48 : x
  2. Step 2: Convert to fraction form
    81,883.80/122,811.96 = 22,725.48/x
  3. Step 3: Cross multiply
    81,883.80x = 122,811.96 × 22,725.48
  4. Step 4: Simplify right side
    81,883.80x = 2,790,960,740.74
  5. Step 5: Solve for x
    x = 2,790,960,740.74/81,883.80
  6. Step 6: Final answer
    x = 34,084.41

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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.