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Finding the Fourth Proportional to 83,872.80, 115,684 and 48,049.76

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Solution

The fourth proportional to 83,872.80, 115,684 and 48,049.76 is: 66,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,872.80 : 115,684 = 48,049.76 : x
  2. Step 2: Convert to fraction form
    83,872.80/115,684 = 48,049.76/x
  3. Step 3: Cross multiply
    83,872.80x = 115,684 × 48,049.76
  4. Step 4: Simplify right side
    83,872.80x = 5,558,588,435.84
  5. Step 5: Solve for x
    x = 5,558,588,435.84/83,872.80
  6. Step 6: Final answer
    x = 66,274.03

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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.