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Finding the Fourth Proportional to 83,379.28, 115,083.66 and 51,529

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Solution

The fourth proportional to 83,379.28, 115,083.66 and 51,529 is: 71,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,379.28 : 115,083.66 = 51,529 : x
  2. Step 2: Convert to fraction form
    83,379.28/115,083.66 = 51,529/x
  3. Step 3: Cross multiply
    83,379.28x = 115,083.66 × 51,529
  4. Step 4: Simplify right side
    83,379.28x = 5,930,145,916.14
  5. Step 5: Solve for x
    x = 5,930,145,916.14/83,379.28
  6. Step 6: Final answer
    x = 71,122.54

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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.