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Finding the Fourth Proportional to 81,842.88, 122,766.78 and 31,920.96

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Solution

The fourth proportional to 81,842.88, 122,766.78 and 31,920.96 is: 47,882.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,842.88 : 122,766.78 = 31,920.96 : x
  2. Step 2: Convert to fraction form
    81,842.88/122,766.78 = 31,920.96/x
  3. Step 3: Cross multiply
    81,842.88x = 122,766.78 × 31,920.96
  4. Step 4: Simplify right side
    81,842.88x = 3,918,833,473.71
  5. Step 5: Solve for x
    x = 3,918,833,473.71/81,842.88
  6. Step 6: Final answer
    x = 47,882.40

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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.