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Finding the Fourth Proportional to 214,135.20, 320,869.20 and 80,942.80

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Solution

The fourth proportional to 214,135.20, 320,869.20 and 80,942.80 is: 121,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,135.20 : 320,869.20 = 80,942.80 : x
  2. Step 2: Convert to fraction form
    214,135.20/320,869.20 = 80,942.80/x
  3. Step 3: Cross multiply
    214,135.20x = 320,869.20 × 80,942.80
  4. Step 4: Simplify right side
    214,135.20x = 25,972,051,481.76
  5. Step 5: Solve for x
    x = 25,972,051,481.76/214,135.20
  6. Step 6: Final answer
    x = 121,288.10

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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.