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Finding the Fourth Proportional to 203,906.20, 305,859.30 and 133,047.40

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Solution

The fourth proportional to 203,906.20, 305,859.30 and 133,047.40 is: 199,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,906.20 : 305,859.30 = 133,047.40 : x
  2. Step 2: Convert to fraction form
    203,906.20/305,859.30 = 133,047.40/x
  3. Step 3: Cross multiply
    203,906.20x = 305,859.30 × 133,047.40
  4. Step 4: Simplify right side
    203,906.20x = 40,693,784,630.82
  5. Step 5: Solve for x
    x = 40,693,784,630.82/203,906.20
  6. Step 6: Final answer
    x = 199,571.10

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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.