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Finding the Fourth Proportional to 217,734, 326,601.24 and 86,406

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Solution

The fourth proportional to 217,734, 326,601.24 and 86,406 is: 129,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,734 : 326,601.24 = 86,406 : x
  2. Step 2: Convert to fraction form
    217,734/326,601.24 = 86,406/x
  3. Step 3: Cross multiply
    217,734x = 326,601.24 × 86,406
  4. Step 4: Simplify right side
    217,734x = 28,220,306,743.44
  5. Step 5: Solve for x
    x = 28,220,306,743.44/217,734
  6. Step 6: Final answer
    x = 129,609.10

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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.