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Finding the Fourth Proportional to 81,880.68, 122,821.07 and 22,716.40

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Solution

The fourth proportional to 81,880.68, 122,821.07 and 22,716.40 is: 34,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,880.68 : 122,821.07 = 22,716.40 : x
  2. Step 2: Convert to fraction form
    81,880.68/122,821.07 = 22,716.40/x
  3. Step 3: Cross multiply
    81,880.68x = 122,821.07 × 22,716.40
  4. Step 4: Simplify right side
    81,880.68x = 2,790,052,764.87
  5. Step 5: Solve for x
    x = 2,790,052,764.87/81,880.68
  6. Step 6: Final answer
    x = 34,074.62

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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.