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Finding the Fourth Proportional to 111,745.78, 167,618.67 and 78,614.15

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Solution

The fourth proportional to 111,745.78, 167,618.67 and 78,614.15 is: 117,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,745.78 : 167,618.67 = 78,614.15 : x
  2. Step 2: Convert to fraction form
    111,745.78/167,618.67 = 78,614.15/x
  3. Step 3: Cross multiply
    111,745.78x = 167,618.67 × 78,614.15
  4. Step 4: Simplify right side
    111,745.78x = 13,177,198,133.28
  5. Step 5: Solve for x
    x = 13,177,198,133.28/111,745.78
  6. Step 6: Final answer
    x = 117,921.22

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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.