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Finding the Fourth Proportional to 203,900.40, 305,850.60 and 140,914.80

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Solution

The fourth proportional to 203,900.40, 305,850.60 and 140,914.80 is: 211,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,900.40 : 305,850.60 = 140,914.80 : x
  2. Step 2: Convert to fraction form
    203,900.40/305,850.60 = 140,914.80/x
  3. Step 3: Cross multiply
    203,900.40x = 305,850.60 × 140,914.80
  4. Step 4: Simplify right side
    203,900.40x = 43,098,876,128.88
  5. Step 5: Solve for x
    x = 43,098,876,128.88/203,900.40
  6. Step 6: Final answer
    x = 211,372.20

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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.