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Finding the Fourth Proportional to 281,761.41, 422,711.31 and 82,083.54

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Solution

The fourth proportional to 281,761.41, 422,711.31 and 82,083.54 is: 123,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,761.41 : 422,711.31 = 82,083.54 : x
  2. Step 2: Convert to fraction form
    281,761.41/422,711.31 = 82,083.54/x
  3. Step 3: Cross multiply
    281,761.41x = 422,711.31 × 82,083.54
  4. Step 4: Simplify right side
    281,761.41x = 34,697,640,722.84
  5. Step 5: Solve for x
    x = 34,697,640,722.84/281,761.41
  6. Step 6: Final answer
    x = 123,145.47

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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.