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Finding the Fourth Proportional to 217,687.26, 326,469.06 and 84,539.10

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Solution

The fourth proportional to 217,687.26, 326,469.06 and 84,539.10 is: 126,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,687.26 : 326,469.06 = 84,539.10 : x
  2. Step 2: Convert to fraction form
    217,687.26/326,469.06 = 84,539.10/x
  3. Step 3: Cross multiply
    217,687.26x = 326,469.06 × 84,539.10
  4. Step 4: Simplify right side
    217,687.26x = 27,599,400,510.25
  5. Step 5: Solve for x
    x = 27,599,400,510.25/217,687.26
  6. Step 6: Final answer
    x = 126,784.64

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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.