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Finding the Fourth Proportional to 160,361.48, 221,481.60 and 109,286.12

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Solution

The fourth proportional to 160,361.48, 221,481.60 and 109,286.12 is: 150,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,361.48 : 221,481.60 = 109,286.12 : x
  2. Step 2: Convert to fraction form
    160,361.48/221,481.60 = 109,286.12/x
  3. Step 3: Cross multiply
    160,361.48x = 221,481.60 × 109,286.12
  4. Step 4: Simplify right side
    160,361.48x = 24,204,864,715.39
  5. Step 5: Solve for x
    x = 24,204,864,715.39/160,361.48
  6. Step 6: Final answer
    x = 150,939.39

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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.