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Finding the Fourth Proportional to 203,771.04, 305,672.94 and 77,471.70

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Solution

The fourth proportional to 203,771.04, 305,672.94 and 77,471.70 is: 116,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,771.04 : 305,672.94 = 77,471.70 : x
  2. Step 2: Convert to fraction form
    203,771.04/305,672.94 = 77,471.70/x
  3. Step 3: Cross multiply
    203,771.04x = 305,672.94 × 77,471.70
  4. Step 4: Simplify right side
    203,771.04x = 23,681,002,305.80
  5. Step 5: Solve for x
    x = 23,681,002,305.80/203,771.04
  6. Step 6: Final answer
    x = 116,213.78

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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.