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Finding the Fourth Proportional to 275,126.85, 412,749.69 and 85,583.61

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Solution

The fourth proportional to 275,126.85, 412,749.69 and 85,583.61 is: 128,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,126.85 : 412,749.69 = 85,583.61 : x
  2. Step 2: Convert to fraction form
    275,126.85/412,749.69 = 85,583.61/x
  3. Step 3: Cross multiply
    275,126.85x = 412,749.69 × 85,583.61
  4. Step 4: Simplify right side
    275,126.85x = 35,324,608,496.58
  5. Step 5: Solve for x
    x = 35,324,608,496.58/275,126.85
  6. Step 6: Final answer
    x = 128,393.90

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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.