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Finding the Fourth Proportional to 111,997, 167,998.74 and 28,891

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Solution

The fourth proportional to 111,997, 167,998.74 and 28,891 is: 43,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,997 : 167,998.74 = 28,891 : x
  2. Step 2: Convert to fraction form
    111,997/167,998.74 = 28,891/x
  3. Step 3: Cross multiply
    111,997x = 167,998.74 × 28,891
  4. Step 4: Simplify right side
    111,997x = 4,853,651,597.34
  5. Step 5: Solve for x
    x = 4,853,651,597.34/111,997
  6. Step 6: Final answer
    x = 43,337.34

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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.