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Finding the Fourth Proportional to 222,761.73, 307,410.86 and 120,787.01

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Solution

The fourth proportional to 222,761.73, 307,410.86 and 120,787.01 is: 166,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,761.73 : 307,410.86 = 120,787.01 : x
  2. Step 2: Convert to fraction form
    222,761.73/307,410.86 = 120,787.01/x
  3. Step 3: Cross multiply
    222,761.73x = 307,410.86 × 120,787.01
  4. Step 4: Simplify right side
    222,761.73x = 37,131,236,479.94
  5. Step 5: Solve for x
    x = 37,131,236,479.94/222,761.73
  6. Step 6: Final answer
    x = 166,685.89

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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.