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Finding the Fourth Proportional to 275,105.65, 412,630.84 and 75,446.12

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Solution

The fourth proportional to 275,105.65, 412,630.84 and 75,446.12 is: 113,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,105.65 : 412,630.84 = 75,446.12 : x
  2. Step 2: Convert to fraction form
    275,105.65/412,630.84 = 75,446.12/x
  3. Step 3: Cross multiply
    275,105.65x = 412,630.84 × 75,446.12
  4. Step 4: Simplify right side
    275,105.65x = 31,131,395,870.34
  5. Step 5: Solve for x
    x = 31,131,395,870.34/275,105.65
  6. Step 6: Final answer
    x = 113,161.60

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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.