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Finding the Fourth Proportional to 81,874.90, 122,812.34 and 22,710.57

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Solution

The fourth proportional to 81,874.90, 122,812.34 and 22,710.57 is: 34,065.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874.90 : 122,812.34 = 22,710.57 : x
  2. Step 2: Convert to fraction form
    81,874.90/122,812.34 = 22,710.57/x
  3. Step 3: Cross multiply
    81,874.90x = 122,812.34 × 22,710.57
  4. Step 4: Simplify right side
    81,874.90x = 2,789,138,244.43
  5. Step 5: Solve for x
    x = 2,789,138,244.43/81,874.90
  6. Step 6: Final answer
    x = 34,065.85

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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.