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Finding the Fourth Proportional to 81,696.47, 122,529.98 and 22,517.47

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Solution

The fourth proportional to 81,696.47, 122,529.98 and 22,517.47 is: 33,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,696.47 : 122,529.98 = 22,517.47 : x
  2. Step 2: Convert to fraction form
    81,696.47/122,529.98 = 22,517.47/x
  3. Step 3: Cross multiply
    81,696.47x = 122,529.98 × 22,517.47
  4. Step 4: Simplify right side
    81,696.47x = 2,759,065,148.75
  5. Step 5: Solve for x
    x = 2,759,065,148.75/81,696.47
  6. Step 6: Final answer
    x = 33,772.15

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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.