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Finding the Fourth Proportional to 218,532.75, 327,993.81 and 111,989.26

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Solution

The fourth proportional to 218,532.75, 327,993.81 and 111,989.26 is: 168,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,532.75 : 327,993.81 = 111,989.26 : x
  2. Step 2: Convert to fraction form
    218,532.75/327,993.81 = 111,989.26/x
  3. Step 3: Cross multiply
    218,532.75x = 327,993.81 × 111,989.26
  4. Step 4: Simplify right side
    218,532.75x = 36,731,784,066.48
  5. Step 5: Solve for x
    x = 36,731,784,066.48/218,532.75
  6. Step 6: Final answer
    x = 168,083.66

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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.