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Finding the Fourth Proportional to 83,214, 124,821 and 27,810

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Solution

The fourth proportional to 83,214, 124,821 and 27,810 is: 41,715

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,214 : 124,821 = 27,810 : x
  2. Step 2: Convert to fraction form
    83,214/124,821 = 27,810/x
  3. Step 3: Cross multiply
    83,214x = 124,821 × 27,810
  4. Step 4: Simplify right side
    83,214x = 3,471,272,010
  5. Step 5: Solve for x
    x = 3,471,272,010/83,214
  6. Step 6: Final answer
    x = 41,715

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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.