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Finding the Fourth Proportional to 83,185.38, 114,800.49 and 54,871.02

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Solution

The fourth proportional to 83,185.38, 114,800.49 and 54,871.02 is: 75,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,185.38 : 114,800.49 = 54,871.02 : x
  2. Step 2: Convert to fraction form
    83,185.38/114,800.49 = 54,871.02/x
  3. Step 3: Cross multiply
    83,185.38x = 114,800.49 × 54,871.02
  4. Step 4: Simplify right side
    83,185.38x = 6,299,219,982.80
  5. Step 5: Solve for x
    x = 6,299,219,982.80/83,185.38
  6. Step 6: Final answer
    x = 75,725.09

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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.