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Finding the Fourth Proportional to 203,494.20, 305,241.30 and 85,153.20

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Solution

The fourth proportional to 203,494.20, 305,241.30 and 85,153.20 is: 127,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,494.20 : 305,241.30 = 85,153.20 : x
  2. Step 2: Convert to fraction form
    203,494.20/305,241.30 = 85,153.20/x
  3. Step 3: Cross multiply
    203,494.20x = 305,241.30 × 85,153.20
  4. Step 4: Simplify right side
    203,494.20x = 25,992,273,467.16
  5. Step 5: Solve for x
    x = 25,992,273,467.16/203,494.20
  6. Step 6: Final answer
    x = 127,729.80

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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.