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Finding the Fourth Proportional to 81,898.85, 122,775.17 and 31,967.30

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Solution

The fourth proportional to 81,898.85, 122,775.17 and 31,967.30 is: 47,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,898.85 : 122,775.17 = 31,967.30 : x
  2. Step 2: Convert to fraction form
    81,898.85/122,775.17 = 31,967.30/x
  3. Step 3: Cross multiply
    81,898.85x = 122,775.17 × 31,967.30
  4. Step 4: Simplify right side
    81,898.85x = 3,924,790,839.04
  5. Step 5: Solve for x
    x = 3,924,790,839.04/81,898.85
  6. Step 6: Final answer
    x = 47,922.42

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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.