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Finding the Fourth Proportional to 218,728.14, 301,839.12 and 123,229.14

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Solution

The fourth proportional to 218,728.14, 301,839.12 and 123,229.14 is: 170,052.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,728.14 : 301,839.12 = 123,229.14 : x
  2. Step 2: Convert to fraction form
    218,728.14/301,839.12 = 123,229.14/x
  3. Step 3: Cross multiply
    218,728.14x = 301,839.12 × 123,229.14
  4. Step 4: Simplify right side
    218,728.14x = 37,195,375,175.96
  5. Step 5: Solve for x
    x = 37,195,375,175.96/218,728.14
  6. Step 6: Final answer
    x = 170,052.99

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