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Finding the Fourth Proportional to 222,769, 307,421.22 and 122,167

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Solution

The fourth proportional to 222,769, 307,421.22 and 122,167 is: 168,590.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,769 : 307,421.22 = 122,167 : x
  2. Step 2: Convert to fraction form
    222,769/307,421.22 = 122,167/x
  3. Step 3: Cross multiply
    222,769x = 307,421.22 × 122,167
  4. Step 4: Simplify right side
    222,769x = 37,556,728,183.74
  5. Step 5: Solve for x
    x = 37,556,728,183.74/222,769
  6. Step 6: Final answer
    x = 168,590.46

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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.