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Finding the Fourth Proportional to 217,754, 326,651.61 and 84,644.54

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Solution

The fourth proportional to 217,754, 326,651.61 and 84,644.54 is: 126,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,754 : 326,651.61 = 84,644.54 : x
  2. Step 2: Convert to fraction form
    217,754/326,651.61 = 84,644.54/x
  3. Step 3: Cross multiply
    217,754x = 326,651.61 × 84,644.54
  4. Step 4: Simplify right side
    217,754x = 27,649,275,268.71
  5. Step 5: Solve for x
    x = 27,649,275,268.71/217,754
  6. Step 6: Final answer
    x = 126,974.82

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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.