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Finding the Fourth Proportional to 201,789.14, 278,469 and 116,955.42

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Solution

The fourth proportional to 201,789.14, 278,469 and 116,955.42 is: 161,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,789.14 : 278,469 = 116,955.42 : x
  2. Step 2: Convert to fraction form
    201,789.14/278,469 = 116,955.42/x
  3. Step 3: Cross multiply
    201,789.14x = 278,469 × 116,955.42
  4. Step 4: Simplify right side
    201,789.14x = 32,568,458,851.98
  5. Step 5: Solve for x
    x = 32,568,458,851.98/201,789.14
  6. Step 6: Final answer
    x = 161,398.47

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1.5x scale

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.