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Finding the Fourth Proportional to 83,863.35, 115,718.49 and 49,871.16

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Solution

The fourth proportional to 83,863.35, 115,718.49 and 49,871.16 is: 68,814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,863.35 : 115,718.49 = 49,871.16 : x
  2. Step 2: Convert to fraction form
    83,863.35/115,718.49 = 49,871.16/x
  3. Step 3: Cross multiply
    83,863.35x = 115,718.49 × 49,871.16
  4. Step 4: Simplify right side
    83,863.35x = 5,771,015,329.75
  5. Step 5: Solve for x
    x = 5,771,015,329.75/83,863.35
  6. Step 6: Final answer
    x = 68,814.51

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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.