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Finding the Fourth Proportional to 208,744.38, 313,164.33 and 90,435.42

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Solution

The fourth proportional to 208,744.38, 313,164.33 and 90,435.42 is: 135,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,744.38 : 313,164.33 = 90,435.42 : x
  2. Step 2: Convert to fraction form
    208,744.38/313,164.33 = 90,435.42/x
  3. Step 3: Cross multiply
    208,744.38x = 313,164.33 × 90,435.42
  4. Step 4: Simplify right side
    208,744.38x = 28,321,147,712.57
  5. Step 5: Solve for x
    x = 28,321,147,712.57/208,744.38
  6. Step 6: Final answer
    x = 135,673.82

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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.