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Finding the Fourth Proportional to 83,880.29, 115,716.65 and 49,869.49

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Solution

The fourth proportional to 83,880.29, 115,716.65 and 49,869.49 is: 68,797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,880.29 : 115,716.65 = 49,869.49 : x
  2. Step 2: Convert to fraction form
    83,880.29/115,716.65 = 49,869.49/x
  3. Step 3: Cross multiply
    83,880.29x = 115,716.65 × 49,869.49
  4. Step 4: Simplify right side
    83,880.29x = 5,770,729,741.43
  5. Step 5: Solve for x
    x = 5,770,729,741.43/83,880.29
  6. Step 6: Final answer
    x = 68,797.21

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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.