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Finding the Fourth Proportional to 214,208.05, 320,974.12 and 79,086.31

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Solution

The fourth proportional to 214,208.05, 320,974.12 and 79,086.31 is: 118,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,208.05 : 320,974.12 = 79,086.31 : x
  2. Step 2: Convert to fraction form
    214,208.05/320,974.12 = 79,086.31/x
  3. Step 3: Cross multiply
    214,208.05x = 320,974.12 × 79,086.31
  4. Step 4: Simplify right side
    214,208.05x = 25,384,658,756.30
  5. Step 5: Solve for x
    x = 25,384,658,756.30/214,208.05
  6. Step 6: Final answer
    x = 118,504.69

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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.