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Finding the Fourth Proportional to 263,191.82, 394,938.22 and 111,376.94

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Solution

The fourth proportional to 263,191.82, 394,938.22 and 111,376.94 is: 167,129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,191.82 : 394,938.22 = 111,376.94 : x
  2. Step 2: Convert to fraction form
    263,191.82/394,938.22 = 111,376.94/x
  3. Step 3: Cross multiply
    263,191.82x = 394,938.22 × 111,376.94
  4. Step 4: Simplify right side
    263,191.82x = 43,987,010,432.65
  5. Step 5: Solve for x
    x = 43,987,010,432.65/263,191.82
  6. Step 6: Final answer
    x = 167,129.09

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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.