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Finding the Fourth Proportional to 201,906.20, 278,626.80 and 111,270.56

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Solution

The fourth proportional to 201,906.20, 278,626.80 and 111,270.56 is: 153,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906.20 : 278,626.80 = 111,270.56 : x
  2. Step 2: Convert to fraction form
    201,906.20/278,626.80 = 111,270.56/x
  3. Step 3: Cross multiply
    201,906.20x = 278,626.80 × 111,270.56
  4. Step 4: Simplify right side
    201,906.20x = 31,002,960,067.01
  5. Step 5: Solve for x
    x = 31,002,960,067.01/201,906.20
  6. Step 6: Final answer
    x = 153,551.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.