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Finding the Fourth Proportional to 218,872.80, 302,049.11 and 123,379.47

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Solution

The fourth proportional to 218,872.80, 302,049.11 and 123,379.47 is: 170,266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,872.80 : 302,049.11 = 123,379.47 : x
  2. Step 2: Convert to fraction form
    218,872.80/302,049.11 = 123,379.47/x
  3. Step 3: Cross multiply
    218,872.80x = 302,049.11 × 123,379.47
  4. Step 4: Simplify right side
    218,872.80x = 37,266,659,414.22
  5. Step 5: Solve for x
    x = 37,266,659,414.22/218,872.80
  6. Step 6: Final answer
    x = 170,266.29

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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.