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Finding the Fourth Proportional to 111,839, 167,758.50 and 28,733

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Solution

The fourth proportional to 111,839, 167,758.50 and 28,733 is: 43,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,839 : 167,758.50 = 28,733 : x
  2. Step 2: Convert to fraction form
    111,839/167,758.50 = 28,733/x
  3. Step 3: Cross multiply
    111,839x = 167,758.50 × 28,733
  4. Step 4: Simplify right side
    111,839x = 4,820,204,980.50
  5. Step 5: Solve for x
    x = 4,820,204,980.50/111,839
  6. Step 6: Final answer
    x = 43,099.50

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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.