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Finding the Fourth Proportional to 201,906.18, 278,626.80 and 111,270.54

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Solution

The fourth proportional to 201,906.18, 278,626.80 and 111,270.54 is: 153,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906.18 : 278,626.80 = 111,270.54 : x
  2. Step 2: Convert to fraction form
    201,906.18/278,626.80 = 111,270.54/x
  3. Step 3: Cross multiply
    201,906.18x = 278,626.80 × 111,270.54
  4. Step 4: Simplify right side
    201,906.18x = 31,002,954,494.47
  5. Step 5: Solve for x
    x = 31,002,954,494.47/201,906.18
  6. Step 6: Final answer
    x = 153,551.29

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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.