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Finding the Fourth Proportional to 82,310.13, 123,472.49 and 23,146.29

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Solution

The fourth proportional to 82,310.13, 123,472.49 and 23,146.29 is: 34,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,310.13 : 123,472.49 = 23,146.29 : x
  2. Step 2: Convert to fraction form
    82,310.13/123,472.49 = 23,146.29/x
  3. Step 3: Cross multiply
    82,310.13x = 123,472.49 × 23,146.29
  4. Step 4: Simplify right side
    82,310.13x = 2,857,929,944.83
  5. Step 5: Solve for x
    x = 2,857,929,944.83/82,310.13
  6. Step 6: Final answer
    x = 34,721.49

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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.