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Finding the Fourth Proportional to 218,221.65, 326,906.96 and 123,164.31

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Solution

The fourth proportional to 218,221.65, 326,906.96 and 123,164.31 is: 184,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,221.65 : 326,906.96 = 123,164.31 : x
  2. Step 2: Convert to fraction form
    218,221.65/326,906.96 = 123,164.31/x
  3. Step 3: Cross multiply
    218,221.65x = 326,906.96 × 123,164.31
  4. Step 4: Simplify right side
    218,221.65x = 40,263,269,546.78
  5. Step 5: Solve for x
    x = 40,263,269,546.78/218,221.65
  6. Step 6: Final answer
    x = 184,506.30

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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.