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Finding the Fourth Proportional to 83,652.68, 115,390.02 and 49,638.80

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Solution

The fourth proportional to 83,652.68, 115,390.02 and 49,638.80 is: 68,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,652.68 : 115,390.02 = 49,638.80 : x
  2. Step 2: Convert to fraction form
    83,652.68/115,390.02 = 49,638.80/x
  3. Step 3: Cross multiply
    83,652.68x = 115,390.02 × 49,638.80
  4. Step 4: Simplify right side
    83,652.68x = 5,727,822,124.78
  5. Step 5: Solve for x
    x = 5,727,822,124.78/83,652.68
  6. Step 6: Final answer
    x = 68,471.47

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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.