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Finding the Fourth Proportional to 208,481.75, 312,723.08 and 75,361.79

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Solution

The fourth proportional to 208,481.75, 312,723.08 and 75,361.79 is: 113,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,481.75 : 312,723.08 = 75,361.79 : x
  2. Step 2: Convert to fraction form
    208,481.75/312,723.08 = 75,361.79/x
  3. Step 3: Cross multiply
    208,481.75x = 312,723.08 × 75,361.79
  4. Step 4: Simplify right side
    208,481.75x = 23,567,371,770.72
  5. Step 5: Solve for x
    x = 23,567,371,770.72/208,481.75
  6. Step 6: Final answer
    x = 113,042.85

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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.