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Finding the Fourth Proportional to 71,646, 107,469 and 27,870

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Solution

The fourth proportional to 71,646, 107,469 and 27,870 is: 41,805

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,646 : 107,469 = 27,870 : x
  2. Step 2: Convert to fraction form
    71,646/107,469 = 27,870/x
  3. Step 3: Cross multiply
    71,646x = 107,469 × 27,870
  4. Step 4: Simplify right side
    71,646x = 2,995,161,030
  5. Step 5: Solve for x
    x = 2,995,161,030/71,646
  6. Step 6: Final answer
    x = 41,805

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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.