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Finding the Fourth Proportional to 201,974.28, 278,679.60 and 115,928

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Solution

The fourth proportional to 201,974.28, 278,679.60 and 115,928 is: 159,954.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,974.28 : 278,679.60 = 115,928 : x
  2. Step 2: Convert to fraction form
    201,974.28/278,679.60 = 115,928/x
  3. Step 3: Cross multiply
    201,974.28x = 278,679.60 × 115,928
  4. Step 4: Simplify right side
    201,974.28x = 32,306,768,668.80
  5. Step 5: Solve for x
    x = 32,306,768,668.80/201,974.28
  6. Step 6: Final answer
    x = 159,954.86

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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.