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Finding the Fourth Proportional to 82,338.93, 123,213.15 and 71,283.65

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Solution

The fourth proportional to 82,338.93, 123,213.15 and 71,283.65 is: 106,669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,338.93 : 123,213.15 = 71,283.65 : x
  2. Step 2: Convert to fraction form
    82,338.93/123,213.15 = 71,283.65/x
  3. Step 3: Cross multiply
    82,338.93x = 123,213.15 × 71,283.65
  4. Step 4: Simplify right side
    82,338.93x = 8,783,082,443.93
  5. Step 5: Solve for x
    x = 8,783,082,443.93/82,338.93
  6. Step 6: Final answer
    x = 106,669.86

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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.