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Finding the Fourth Proportional to 222,977.64, 307,768.14 and 138,046.44

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Solution

The fourth proportional to 222,977.64, 307,768.14 and 138,046.44 is: 190,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,977.64 : 307,768.14 = 138,046.44 : x
  2. Step 2: Convert to fraction form
    222,977.64/307,768.14 = 138,046.44/x
  3. Step 3: Cross multiply
    222,977.64x = 307,768.14 × 138,046.44
  4. Step 4: Simplify right side
    222,977.64x = 42,486,296,072.42
  5. Step 5: Solve for x
    x = 42,486,296,072.42/222,977.64
  6. Step 6: Final answer
    x = 190,540.61

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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.