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Finding the Fourth Proportional to 83,321.48, 114,965.86 and 49,340.64

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Solution

The fourth proportional to 83,321.48, 114,965.86 and 49,340.64 is: 68,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,321.48 : 114,965.86 = 49,340.64 : x
  2. Step 2: Convert to fraction form
    83,321.48/114,965.86 = 49,340.64/x
  3. Step 3: Cross multiply
    83,321.48x = 114,965.86 × 49,340.64
  4. Step 4: Simplify right side
    83,321.48x = 5,672,489,110.55
  5. Step 5: Solve for x
    x = 5,672,489,110.55/83,321.48
  6. Step 6: Final answer
    x = 68,079.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.