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Finding the Fourth Proportional to 203,874.56, 305,902.08 and 79,224.96

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Solution

The fourth proportional to 203,874.56, 305,902.08 and 79,224.96 is: 118,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,874.56 : 305,902.08 = 79,224.96 : x
  2. Step 2: Convert to fraction form
    203,874.56/305,902.08 = 79,224.96/x
  3. Step 3: Cross multiply
    203,874.56x = 305,902.08 × 79,224.96
  4. Step 4: Simplify right side
    203,874.56x = 24,235,080,051.92
  5. Step 5: Solve for x
    x = 24,235,080,051.92/203,874.56
  6. Step 6: Final answer
    x = 118,872.51

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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.