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Finding the Fourth Proportional to 111,971.34, 167,540.76 and 67,015.16

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Solution

The fourth proportional to 111,971.34, 167,540.76 and 67,015.16 is: 100,273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,971.34 : 167,540.76 = 67,015.16 : x
  2. Step 2: Convert to fraction form
    111,971.34/167,540.76 = 67,015.16/x
  3. Step 3: Cross multiply
    111,971.34x = 167,540.76 × 67,015.16
  4. Step 4: Simplify right side
    111,971.34x = 11,227,770,000.22
  5. Step 5: Solve for x
    x = 11,227,770,000.22/111,971.34
  6. Step 6: Final answer
    x = 100,273.61

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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.