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Finding the Fourth Proportional to 214,843.80, 321,876.90 and 131,640.60

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Solution

The fourth proportional to 214,843.80, 321,876.90 and 131,640.60 is: 197,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,843.80 : 321,876.90 = 131,640.60 : x
  2. Step 2: Convert to fraction form
    214,843.80/321,876.90 = 131,640.60/x
  3. Step 3: Cross multiply
    214,843.80x = 321,876.90 × 131,640.60
  4. Step 4: Simplify right side
    214,843.80x = 42,372,068,242.14
  5. Step 5: Solve for x
    x = 42,372,068,242.14/214,843.80
  6. Step 6: Final answer
    x = 197,222.67

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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.