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Finding the Fourth Proportional to 218,505.87, 327,486.56 and 78,110.19

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Solution

The fourth proportional to 218,505.87, 327,486.56 and 78,110.19 is: 117,067.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,505.87 : 327,486.56 = 78,110.19 : x
  2. Step 2: Convert to fraction form
    218,505.87/327,486.56 = 78,110.19/x
  3. Step 3: Cross multiply
    218,505.87x = 327,486.56 × 78,110.19
  4. Step 4: Simplify right side
    218,505.87x = 25,580,037,033.50
  5. Step 5: Solve for x
    x = 25,580,037,033.50/218,505.87
  6. Step 6: Final answer
    x = 117,067.96

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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.