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Finding the Fourth Proportional to 83,963.68, 115,865.04 and 50,423.20

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Solution

The fourth proportional to 83,963.68, 115,865.04 and 50,423.20 is: 69,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,963.68 : 115,865.04 = 50,423.20 : x
  2. Step 2: Convert to fraction form
    83,963.68/115,865.04 = 50,423.20/x
  3. Step 3: Cross multiply
    83,963.68x = 115,865.04 × 50,423.20
  4. Step 4: Simplify right side
    83,963.68x = 5,842,286,084.93
  5. Step 5: Solve for x
    x = 5,842,286,084.93/83,963.68
  6. Step 6: Final answer
    x = 69,581.11

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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.