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Finding the Fourth Proportional to 214,866.80, 321,954.60 and 135,839.60

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Solution

The fourth proportional to 214,866.80, 321,954.60 and 135,839.60 is: 203,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,866.80 : 321,954.60 = 135,839.60 : x
  2. Step 2: Convert to fraction form
    214,866.80/321,954.60 = 135,839.60/x
  3. Step 3: Cross multiply
    214,866.80x = 321,954.60 × 135,839.60
  4. Step 4: Simplify right side
    214,866.80x = 43,734,184,082.16
  5. Step 5: Solve for x
    x = 43,734,184,082.16/214,866.80
  6. Step 6: Final answer
    x = 203,540.91

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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.