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Finding the Fourth Proportional to 214,134.60, 321,201.90 and 131,190.60

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Solution

The fourth proportional to 214,134.60, 321,201.90 and 131,190.60 is: 196,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,134.60 : 321,201.90 = 131,190.60 : x
  2. Step 2: Convert to fraction form
    214,134.60/321,201.90 = 131,190.60/x
  3. Step 3: Cross multiply
    214,134.60x = 321,201.90 × 131,190.60
  4. Step 4: Simplify right side
    214,134.60x = 42,138,669,982.14
  5. Step 5: Solve for x
    x = 42,138,669,982.14/214,134.60
  6. Step 6: Final answer
    x = 196,785.90

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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.