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Finding the Fourth Proportional to 203,906.35, 305,859.53 and 133,047.55

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Solution

The fourth proportional to 203,906.35, 305,859.53 and 133,047.55 is: 199,571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,906.35 : 305,859.53 = 133,047.55 : x
  2. Step 2: Convert to fraction form
    203,906.35/305,859.53 = 133,047.55/x
  3. Step 3: Cross multiply
    203,906.35x = 305,859.53 × 133,047.55
  4. Step 4: Simplify right side
    203,906.35x = 40,693,861,110.65
  5. Step 5: Solve for x
    x = 40,693,861,110.65/203,906.35
  6. Step 6: Final answer
    x = 199,571.33

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1.5x scale

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.