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Finding the Fourth Proportional to 201,976.38, 278,729.37 and 111,335.76

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Solution

The fourth proportional to 201,976.38, 278,729.37 and 111,335.76 is: 153,644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,976.38 : 278,729.37 = 111,335.76 : x
  2. Step 2: Convert to fraction form
    201,976.38/278,729.37 = 111,335.76/x
  3. Step 3: Cross multiply
    201,976.38x = 278,729.37 × 111,335.76
  4. Step 4: Simplify right side
    201,976.38x = 31,032,546,243.27
  5. Step 5: Solve for x
    x = 31,032,546,243.27/201,976.38
  6. Step 6: Final answer
    x = 153,644.43

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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.