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Finding the Fourth Proportional to 81,694.47, 122,526.98 and 22,515.47

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Solution

The fourth proportional to 81,694.47, 122,526.98 and 22,515.47 is: 33,769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,694.47 : 122,526.98 = 22,515.47 : x
  2. Step 2: Convert to fraction form
    81,694.47/122,526.98 = 22,515.47/x
  3. Step 3: Cross multiply
    81,694.47x = 122,526.98 × 22,515.47
  4. Step 4: Simplify right side
    81,694.47x = 2,758,752,361.08
  5. Step 5: Solve for x
    x = 2,758,752,361.08/81,694.47
  6. Step 6: Final answer
    x = 33,769.14

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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.