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Finding the Fourth Proportional to 222,768, 307,419.84 and 122,166

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Solution

The fourth proportional to 222,768, 307,419.84 and 122,166 is: 168,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,768 : 307,419.84 = 122,166 : x
  2. Step 2: Convert to fraction form
    222,768/307,419.84 = 122,166/x
  3. Step 3: Cross multiply
    222,768x = 307,419.84 × 122,166
  4. Step 4: Simplify right side
    222,768x = 37,556,252,173.44
  5. Step 5: Solve for x
    x = 37,556,252,173.44/222,768
  6. Step 6: Final answer
    x = 168,589.08

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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.