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Finding the Fourth Proportional to 82,254.48, 123,382.20 and 29,672.40

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Solution

The fourth proportional to 82,254.48, 123,382.20 and 29,672.40 is: 44,508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,254.48 : 123,382.20 = 29,672.40 : x
  2. Step 2: Convert to fraction form
    82,254.48/123,382.20 = 29,672.40/x
  3. Step 3: Cross multiply
    82,254.48x = 123,382.20 × 29,672.40
  4. Step 4: Simplify right side
    82,254.48x = 3,661,045,991.28
  5. Step 5: Solve for x
    x = 3,661,045,991.28/82,254.48
  6. Step 6: Final answer
    x = 44,508.77

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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.