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Finding the Fourth Proportional to 83,878.13, 115,713.67 and 49,867.32

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Solution

The fourth proportional to 83,878.13, 115,713.67 and 49,867.32 is: 68,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,878.13 : 115,713.67 = 49,867.32 : x
  2. Step 2: Convert to fraction form
    83,878.13/115,713.67 = 49,867.32/x
  3. Step 3: Cross multiply
    83,878.13x = 115,713.67 × 49,867.32
  4. Step 4: Simplify right side
    83,878.13x = 5,770,330,031.70
  5. Step 5: Solve for x
    x = 5,770,330,031.70/83,878.13
  6. Step 6: Final answer
    x = 68,794.22

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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.