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Finding the Fourth Proportional to 83,878, 115,713.50 and 49,867.19

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Solution

The fourth proportional to 83,878, 115,713.50 and 49,867.19 is: 68,794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,878 : 115,713.50 = 49,867.19 : x
  2. Step 2: Convert to fraction form
    83,878/115,713.50 = 49,867.19/x
  3. Step 3: Cross multiply
    83,878x = 115,713.50 × 49,867.19
  4. Step 4: Simplify right side
    83,878x = 5,770,306,676.11
  5. Step 5: Solve for x
    x = 5,770,306,676.11/83,878
  6. Step 6: Final answer
    x = 68,794.04

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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.