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Finding the Fourth Proportional to 274,072.82, 411,104.66 and 81,947.70

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Solution

The fourth proportional to 274,072.82, 411,104.66 and 81,947.70 is: 122,920.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,072.82 : 411,104.66 = 81,947.70 : x
  2. Step 2: Convert to fraction form
    274,072.82/411,104.66 = 81,947.70/x
  3. Step 3: Cross multiply
    274,072.82x = 411,104.66 × 81,947.70
  4. Step 4: Simplify right side
    274,072.82x = 33,689,080,936.54
  5. Step 5: Solve for x
    x = 33,689,080,936.54/274,072.82
  6. Step 6: Final answer
    x = 122,920.18

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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.