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Finding the Fourth Proportional to 83,278.89, 124,917.21 and 20,098.49

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Solution

The fourth proportional to 83,278.89, 124,917.21 and 20,098.49 is: 30,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,278.89 : 124,917.21 = 20,098.49 : x
  2. Step 2: Convert to fraction form
    83,278.89/124,917.21 = 20,098.49/x
  3. Step 3: Cross multiply
    83,278.89x = 124,917.21 × 20,098.49
  4. Step 4: Simplify right side
    83,278.89x = 2,510,646,671.43
  5. Step 5: Solve for x
    x = 2,510,646,671.43/83,278.89
  6. Step 6: Final answer
    x = 30,147.46

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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.