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Finding the Fourth Proportional to 83,206, 124,809 and 27,802

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Solution

The fourth proportional to 83,206, 124,809 and 27,802 is: 41,703

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,206 : 124,809 = 27,802 : x
  2. Step 2: Convert to fraction form
    83,206/124,809 = 27,802/x
  3. Step 3: Cross multiply
    83,206x = 124,809 × 27,802
  4. Step 4: Simplify right side
    83,206x = 3,469,939,818
  5. Step 5: Solve for x
    x = 3,469,939,818/83,206
  6. Step 6: Final answer
    x = 41,703

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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.