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Finding the Fourth Proportional to 122.11, 168.57 and 78.45

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Solution

The fourth proportional to 122.11, 168.57 and 78.45 is: 108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.11 : 168.57 = 78.45 : x
  2. Step 2: Convert to fraction form
    122.11/168.57 = 78.45/x
  3. Step 3: Cross multiply
    122.11x = 168.57 × 78.45
  4. Step 4: Simplify right side
    122.11x = 13,224.32
  5. Step 5: Solve for x
    x = 13,224.32/122.11
  6. Step 6: Final answer
    x = 108.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.