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Finding the Fourth Proportional to 203,797.42, 305,584.04 and 109,138.59

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Solution

The fourth proportional to 203,797.42, 305,584.04 and 109,138.59 is: 163,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,797.42 : 305,584.04 = 109,138.59 : x
  2. Step 2: Convert to fraction form
    203,797.42/305,584.04 = 109,138.59/x
  3. Step 3: Cross multiply
    203,797.42x = 305,584.04 × 109,138.59
  4. Step 4: Simplify right side
    203,797.42x = 33,351,011,524.95
  5. Step 5: Solve for x
    x = 33,351,011,524.95/203,797.42
  6. Step 6: Final answer
    x = 163,647.86

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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.