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Finding the Fourth Proportional to 274,635.75, 412,012.44 and 85,091.92

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Solution

The fourth proportional to 274,635.75, 412,012.44 and 85,091.92 is: 127,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,635.75 : 412,012.44 = 85,091.92 : x
  2. Step 2: Convert to fraction form
    274,635.75/412,012.44 = 85,091.92/x
  3. Step 3: Cross multiply
    274,635.75x = 412,012.44 × 85,091.92
  4. Step 4: Simplify right side
    274,635.75x = 35,058,928,553.45
  5. Step 5: Solve for x
    x = 35,058,928,553.45/274,635.75
  6. Step 6: Final answer
    x = 127,656.10

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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.