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Finding the Fourth Proportional to 275,177.49, 412,738.59 and 75,517.98

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Solution

The fourth proportional to 275,177.49, 412,738.59 and 75,517.98 is: 113,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,177.49 : 412,738.59 = 75,517.98 : x
  2. Step 2: Convert to fraction form
    275,177.49/412,738.59 = 75,517.98/x
  3. Step 3: Cross multiply
    275,177.49x = 412,738.59 × 75,517.98
  4. Step 4: Simplify right side
    275,177.49x = 31,169,184,584.85
  5. Step 5: Solve for x
    x = 31,169,184,584.85/275,177.49
  6. Step 6: Final answer
    x = 113,269.38

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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.