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Finding the Fourth Proportional to 275,106.50, 412,632.10 and 75,446.97

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Solution

The fourth proportional to 275,106.50, 412,632.10 and 75,446.97 is: 113,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,106.50 : 412,632.10 = 75,446.97 : x
  2. Step 2: Convert to fraction form
    275,106.50/412,632.10 = 75,446.97/x
  3. Step 3: Cross multiply
    275,106.50x = 412,632.10 × 75,446.97
  4. Step 4: Simplify right side
    275,106.50x = 31,131,841,669.74
  5. Step 5: Solve for x
    x = 31,131,841,669.74/275,106.50
  6. Step 6: Final answer
    x = 113,162.87

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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.