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Finding the Fourth Proportional to 83,278.96, 124,892.40 and 27,862

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Solution

The fourth proportional to 83,278.96, 124,892.40 and 27,862 is: 41,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,278.96 : 124,892.40 = 27,862 : x
  2. Step 2: Convert to fraction form
    83,278.96/124,892.40 = 27,862/x
  3. Step 3: Cross multiply
    83,278.96x = 124,892.40 × 27,862
  4. Step 4: Simplify right side
    83,278.96x = 3,479,752,048.80
  5. Step 5: Solve for x
    x = 3,479,752,048.80/83,278.96
  6. Step 6: Final answer
    x = 41,784.29

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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.