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Finding the Fourth Proportional to 83,379.65, 125,082.50 and 27,206.78

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Solution

The fourth proportional to 83,379.65, 125,082.50 and 27,206.78 is: 40,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,379.65 : 125,082.50 = 27,206.78 : x
  2. Step 2: Convert to fraction form
    83,379.65/125,082.50 = 27,206.78/x
  3. Step 3: Cross multiply
    83,379.65x = 125,082.50 × 27,206.78
  4. Step 4: Simplify right side
    83,379.65x = 3,403,091,297.90
  5. Step 5: Solve for x
    x = 3,403,091,297.90/83,379.65
  6. Step 6: Final answer
    x = 40,814.41

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