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Finding the Fourth Proportional to 123,219.80, 169,965.02 and 80,781.06

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Solution

The fourth proportional to 123,219.80, 169,965.02 and 80,781.06 is: 111,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,219.80 : 169,965.02 = 80,781.06 : x
  2. Step 2: Convert to fraction form
    123,219.80/169,965.02 = 80,781.06/x
  3. Step 3: Cross multiply
    123,219.80x = 169,965.02 × 80,781.06
  4. Step 4: Simplify right side
    123,219.80x = 13,729,954,680.47
  5. Step 5: Solve for x
    x = 13,729,954,680.47/123,219.80
  6. Step 6: Final answer
    x = 111,426.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.