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Finding the Fourth Proportional to 218,257, 327,436.26 and 68,489.08

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Solution

The fourth proportional to 218,257, 327,436.26 and 68,489.08 is: 102,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,257 : 327,436.26 = 68,489.08 : x
  2. Step 2: Convert to fraction form
    218,257/327,436.26 = 68,489.08/x
  3. Step 3: Cross multiply
    218,257x = 327,436.26 × 68,489.08
  4. Step 4: Simplify right side
    218,257x = 22,425,808,206.04
  5. Step 5: Solve for x
    x = 22,425,808,206.04/218,257
  6. Step 6: Final answer
    x = 102,749.55

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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.