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Finding the Fourth Proportional to 275,016.36, 412,524.90 and 75,338.50

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Solution

The fourth proportional to 275,016.36, 412,524.90 and 75,338.50 is: 113,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,016.36 : 412,524.90 = 75,338.50 : x
  2. Step 2: Convert to fraction form
    275,016.36/412,524.90 = 75,338.50/x
  3. Step 3: Cross multiply
    275,016.36x = 412,524.90 × 75,338.50
  4. Step 4: Simplify right side
    275,016.36x = 31,079,007,178.65
  5. Step 5: Solve for x
    x = 31,079,007,178.65/275,016.36
  6. Step 6: Final answer
    x = 113,007.85

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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.