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Finding the Fourth Proportional to 203,116.44, 280,331.64 and 126,648

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Solution

The fourth proportional to 203,116.44, 280,331.64 and 126,648 is: 174,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,116.44 : 280,331.64 = 126,648 : x
  2. Step 2: Convert to fraction form
    203,116.44/280,331.64 = 126,648/x
  3. Step 3: Cross multiply
    203,116.44x = 280,331.64 × 126,648
  4. Step 4: Simplify right side
    203,116.44x = 35,503,441,542.72
  5. Step 5: Solve for x
    x = 35,503,441,542.72/203,116.44
  6. Step 6: Final answer
    x = 174,793.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.