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Finding the Fourth Proportional to 223,198.97, 308,016.80 and 121,226.42

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Solution

The fourth proportional to 223,198.97, 308,016.80 and 121,226.42 is: 167,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,198.97 : 308,016.80 = 121,226.42 : x
  2. Step 2: Convert to fraction form
    223,198.97/308,016.80 = 121,226.42/x
  3. Step 3: Cross multiply
    223,198.97x = 308,016.80 × 121,226.42
  4. Step 4: Simplify right side
    223,198.97x = 37,339,771,817.64
  5. Step 5: Solve for x
    x = 37,339,771,817.64/223,198.97
  6. Step 6: Final answer
    x = 167,293.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.