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Finding the Fourth Proportional to 218,564.21, 327,651.81 and 85,414.19

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Solution

The fourth proportional to 218,564.21, 327,651.81 and 85,414.19 is: 128,045.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,564.21 : 327,651.81 = 85,414.19 : x
  2. Step 2: Convert to fraction form
    218,564.21/327,651.81 = 85,414.19/x
  3. Step 3: Cross multiply
    218,564.21x = 327,651.81 × 85,414.19
  4. Step 4: Simplify right side
    218,564.21x = 27,986,112,314.92
  5. Step 5: Solve for x
    x = 27,986,112,314.92/218,564.21
  6. Step 6: Final answer
    x = 128,045.27

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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.