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Finding the Fourth Proportional to 217,123.20, 325,608 and 103,257.60

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Solution

The fourth proportional to 217,123.20, 325,608 and 103,257.60 is: 154,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,123.20 : 325,608 = 103,257.60 : x
  2. Step 2: Convert to fraction form
    217,123.20/325,608 = 103,257.60/x
  3. Step 3: Cross multiply
    217,123.20x = 325,608 × 103,257.60
  4. Step 4: Simplify right side
    217,123.20x = 33,621,500,620.80
  5. Step 5: Solve for x
    x = 33,621,500,620.80/217,123.20
  6. Step 6: Final answer
    x = 154,849.88

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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.