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Finding the Fourth Proportional to 234,198.72, 351,361.44 and 84,455.64

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Solution

The fourth proportional to 234,198.72, 351,361.44 and 84,455.64 is: 126,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,198.72 : 351,361.44 = 84,455.64 : x
  2. Step 2: Convert to fraction form
    234,198.72/351,361.44 = 84,455.64/x
  3. Step 3: Cross multiply
    234,198.72x = 351,361.44 × 84,455.64
  4. Step 4: Simplify right side
    234,198.72x = 29,674,455,286.52
  5. Step 5: Solve for x
    x = 29,674,455,286.52/234,198.72
  6. Step 6: Final answer
    x = 126,706.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.