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Finding the Fourth Proportional to 81,480.75, 122,215.59 and 22,317

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Solution

The fourth proportional to 81,480.75, 122,215.59 and 22,317 is: 33,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,480.75 : 122,215.59 = 22,317 : x
  2. Step 2: Convert to fraction form
    81,480.75/122,215.59 = 22,317/x
  3. Step 3: Cross multiply
    81,480.75x = 122,215.59 × 22,317
  4. Step 4: Simplify right side
    81,480.75x = 2,727,485,322.03
  5. Step 5: Solve for x
    x = 2,727,485,322.03/81,480.75
  6. Step 6: Final answer
    x = 33,473.98

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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.