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Finding the Fourth Proportional to 110,778.20, 166,221.52 and 68,647

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Solution

The fourth proportional to 110,778.20, 166,221.52 and 68,647 is: 103,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,778.20 : 166,221.52 = 68,647 : x
  2. Step 2: Convert to fraction form
    110,778.20/166,221.52 = 68,647/x
  3. Step 3: Cross multiply
    110,778.20x = 166,221.52 × 68,647
  4. Step 4: Simplify right side
    110,778.20x = 11,410,608,683.44
  5. Step 5: Solve for x
    x = 11,410,608,683.44/110,778.20
  6. Step 6: Final answer
    x = 103,004.10

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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.