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Finding the Fourth Proportional to 111,638.60, 167,455.20 and 67,231.70

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Solution

The fourth proportional to 111,638.60, 167,455.20 and 67,231.70 is: 100,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,638.60 : 167,455.20 = 67,231.70 : x
  2. Step 2: Convert to fraction form
    111,638.60/167,455.20 = 67,231.70/x
  3. Step 3: Cross multiply
    111,638.60x = 167,455.20 × 67,231.70
  4. Step 4: Simplify right side
    111,638.60x = 11,258,297,769.84
  5. Step 5: Solve for x
    x = 11,258,297,769.84/111,638.60
  6. Step 6: Final answer
    x = 100,845.92

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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.