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Finding the Fourth Proportional to 111,546.36, 167,319.78 and 78,414.48

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Solution

The fourth proportional to 111,546.36, 167,319.78 and 78,414.48 is: 117,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,546.36 : 167,319.78 = 78,414.48 : x
  2. Step 2: Convert to fraction form
    111,546.36/167,319.78 = 78,414.48/x
  3. Step 3: Cross multiply
    111,546.36x = 167,319.78 × 78,414.48
  4. Step 4: Simplify right side
    111,546.36x = 13,120,293,542.41
  5. Step 5: Solve for x
    x = 13,120,293,542.41/111,546.36
  6. Step 6: Final answer
    x = 117,621.89

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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.