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Finding the Fourth Proportional to 82,604.91, 123,969.69 and 38,262.78

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Solution

The fourth proportional to 82,604.91, 123,969.69 and 38,262.78 is: 57,423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,604.91 : 123,969.69 = 38,262.78 : x
  2. Step 2: Convert to fraction form
    82,604.91/123,969.69 = 38,262.78/x
  3. Step 3: Cross multiply
    82,604.91x = 123,969.69 × 38,262.78
  4. Step 4: Simplify right side
    82,604.91x = 4,743,424,975.14
  5. Step 5: Solve for x
    x = 4,743,424,975.14/82,604.91
  6. Step 6: Final answer
    x = 57,423.04

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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.