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Finding the Fourth Proportional to 218,204.70, 327,406.41 and 105,824.22

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Solution

The fourth proportional to 218,204.70, 327,406.41 and 105,824.22 is: 158,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,204.70 : 327,406.41 = 105,824.22 : x
  2. Step 2: Convert to fraction form
    218,204.70/327,406.41 = 105,824.22/x
  3. Step 3: Cross multiply
    218,204.70x = 327,406.41 × 105,824.22
  4. Step 4: Simplify right side
    218,204.70x = 34,647,527,961.25
  5. Step 5: Solve for x
    x = 34,647,527,961.25/218,204.70
  6. Step 6: Final answer
    x = 158,784.52

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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.