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Finding the Fourth Proportional to 82,081.06, 123,143.52 and 29,491

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Solution

The fourth proportional to 82,081.06, 123,143.52 and 29,491 is: 44,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,081.06 : 123,143.52 = 29,491 : x
  2. Step 2: Convert to fraction form
    82,081.06/123,143.52 = 29,491/x
  3. Step 3: Cross multiply
    82,081.06x = 123,143.52 × 29,491
  4. Step 4: Simplify right side
    82,081.06x = 3,631,625,548.32
  5. Step 5: Solve for x
    x = 3,631,625,548.32/82,081.06
  6. Step 6: Final answer
    x = 44,244.38

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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.