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Finding the Fourth Proportional to 217,853.73, 326,813.81 and 111,179.52

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Solution

The fourth proportional to 217,853.73, 326,813.81 and 111,179.52 is: 166,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,853.73 : 326,813.81 = 111,179.52 : x
  2. Step 2: Convert to fraction form
    217,853.73/326,813.81 = 111,179.52/x
  3. Step 3: Cross multiply
    217,853.73x = 326,813.81 × 111,179.52
  4. Step 4: Simplify right side
    217,853.73x = 36,335,001,969.27
  5. Step 5: Solve for x
    x = 36,335,001,969.27/217,853.73
  6. Step 6: Final answer
    x = 166,786.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.