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Finding the Fourth Proportional to 83,043.70, 124,378.25 and 38,576.87

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Solution

The fourth proportional to 83,043.70, 124,378.25 and 38,576.87 is: 57,778.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,043.70 : 124,378.25 = 38,576.87 : x
  2. Step 2: Convert to fraction form
    83,043.70/124,378.25 = 38,576.87/x
  3. Step 3: Cross multiply
    83,043.70x = 124,378.25 × 38,576.87
  4. Step 4: Simplify right side
    83,043.70x = 4,798,123,232.72
  5. Step 5: Solve for x
    x = 4,798,123,232.72/83,043.70
  6. Step 6: Final answer
    x = 57,778.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.