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Finding the Fourth Proportional to 218,546.80, 327,640.20 and 98,611.60

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Solution

The fourth proportional to 218,546.80, 327,640.20 and 98,611.60 is: 147,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,546.80 : 327,640.20 = 98,611.60 : x
  2. Step 2: Convert to fraction form
    218,546.80/327,640.20 = 98,611.60/x
  3. Step 3: Cross multiply
    218,546.80x = 327,640.20 × 98,611.60
  4. Step 4: Simplify right side
    218,546.80x = 32,309,124,346.32
  5. Step 5: Solve for x
    x = 32,309,124,346.32/218,546.80
  6. Step 6: Final answer
    x = 147,836.18

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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.