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Finding the Fourth Proportional to 213,958.60, 320,816.40 and 80,843.20

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Solution

The fourth proportional to 213,958.60, 320,816.40 and 80,843.20 is: 121,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,958.60 : 320,816.40 = 80,843.20 : x
  2. Step 2: Convert to fraction form
    213,958.60/320,816.40 = 80,843.20/x
  3. Step 3: Cross multiply
    213,958.60x = 320,816.40 × 80,843.20
  4. Step 4: Simplify right side
    213,958.60x = 25,935,824,388.48
  5. Step 5: Solve for x
    x = 25,935,824,388.48/213,958.60
  6. Step 6: Final answer
    x = 121,218.89

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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.