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Finding the Fourth Proportional to 279,059, 418,588.53 and 82,067

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Solution

The fourth proportional to 279,059, 418,588.53 and 82,067 is: 123,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,059 : 418,588.53 = 82,067 : x
  2. Step 2: Convert to fraction form
    279,059/418,588.53 = 82,067/x
  3. Step 3: Cross multiply
    279,059x = 418,588.53 × 82,067
  4. Step 4: Simplify right side
    279,059x = 34,352,304,481.18
  5. Step 5: Solve for x
    x = 34,352,304,481.18/279,059
  6. Step 6: Final answer
    x = 123,100.51

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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.