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Finding the Fourth Proportional to 201,789, 278,468.82 and 116,955.27

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Solution

The fourth proportional to 201,789, 278,468.82 and 116,955.27 is: 161,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,789 : 278,468.82 = 116,955.27 : x
  2. Step 2: Convert to fraction form
    201,789/278,468.82 = 116,955.27/x
  3. Step 3: Cross multiply
    201,789x = 278,468.82 × 116,955.27
  4. Step 4: Simplify right side
    201,789x = 32,568,396,029.68
  5. Step 5: Solve for x
    x = 32,568,396,029.68/201,789
  6. Step 6: Final answer
    x = 161,398.27

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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.