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Finding the Fourth Proportional to 218,690.40, 301,791.36 and 123,227.82

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Solution

The fourth proportional to 218,690.40, 301,791.36 and 123,227.82 is: 170,053.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,690.40 : 301,791.36 = 123,227.82 : x
  2. Step 2: Convert to fraction form
    218,690.40/301,791.36 = 123,227.82/x
  3. Step 3: Cross multiply
    218,690.40x = 301,791.36 × 123,227.82
  4. Step 4: Simplify right side
    218,690.40x = 37,189,091,387.64
  5. Step 5: Solve for x
    x = 37,189,091,387.64/218,690.40
  6. Step 6: Final answer
    x = 170,053.61

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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.