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Finding the Fourth Proportional to 274,761.70, 412,201.74 and 85,218.28

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Solution

The fourth proportional to 274,761.70, 412,201.74 and 85,218.28 is: 127,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,761.70 : 412,201.74 = 85,218.28 : x
  2. Step 2: Convert to fraction form
    274,761.70/412,201.74 = 85,218.28/x
  3. Step 3: Cross multiply
    274,761.70x = 412,201.74 × 85,218.28
  4. Step 4: Simplify right side
    274,761.70x = 35,127,123,295.81
  5. Step 5: Solve for x
    x = 35,127,123,295.81/274,761.70
  6. Step 6: Final answer
    x = 127,845.78

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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.