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Finding the Fourth Proportional to 222,451.20, 333,676.80 and 129,196.80

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Solution

The fourth proportional to 222,451.20, 333,676.80 and 129,196.80 is: 193,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,451.20 : 333,676.80 = 129,196.80 : x
  2. Step 2: Convert to fraction form
    222,451.20/333,676.80 = 129,196.80/x
  3. Step 3: Cross multiply
    222,451.20x = 333,676.80 × 129,196.80
  4. Step 4: Simplify right side
    222,451.20x = 43,109,974,794.24
  5. Step 5: Solve for x
    x = 43,109,974,794.24/222,451.20
  6. Step 6: Final answer
    x = 193,795.20

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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.