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Finding the Fourth Proportional to 111,840, 167,760 and 28,734

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Solution

The fourth proportional to 111,840, 167,760 and 28,734 is: 43,101

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,840 : 167,760 = 28,734 : x
  2. Step 2: Convert to fraction form
    111,840/167,760 = 28,734/x
  3. Step 3: Cross multiply
    111,840x = 167,760 × 28,734
  4. Step 4: Simplify right side
    111,840x = 4,820,415,840
  5. Step 5: Solve for x
    x = 4,820,415,840/111,840
  6. Step 6: Final answer
    x = 43,101

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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.