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Finding the Fourth Proportional to 203,959.08, 305,906.94 and 104,193

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Solution

The fourth proportional to 203,959.08, 305,906.94 and 104,193 is: 156,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,959.08 : 305,906.94 = 104,193 : x
  2. Step 2: Convert to fraction form
    203,959.08/305,906.94 = 104,193/x
  3. Step 3: Cross multiply
    203,959.08x = 305,906.94 × 104,193
  4. Step 4: Simplify right side
    203,959.08x = 31,873,361,799.42
  5. Step 5: Solve for x
    x = 31,873,361,799.42/203,959.08
  6. Step 6: Final answer
    x = 156,273.32

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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.