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Finding the Fourth Proportional to 203,510, 280,843.80 and 114,086

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Solution

The fourth proportional to 203,510, 280,843.80 and 114,086 is: 157,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,510 : 280,843.80 = 114,086 : x
  2. Step 2: Convert to fraction form
    203,510/280,843.80 = 114,086/x
  3. Step 3: Cross multiply
    203,510x = 280,843.80 × 114,086
  4. Step 4: Simplify right side
    203,510x = 32,040,345,766.80
  5. Step 5: Solve for x
    x = 32,040,345,766.80/203,510
  6. Step 6: Final answer
    x = 157,438.68

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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.