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Finding the Fourth Proportional to 122.09, 168.57 and 92.93

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Solution

The fourth proportional to 122.09, 168.57 and 92.93 is: 128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.09 : 168.57 = 92.93 : x
  2. Step 2: Convert to fraction form
    122.09/168.57 = 92.93/x
  3. Step 3: Cross multiply
    122.09x = 168.57 × 92.93
  4. Step 4: Simplify right side
    122.09x = 15,664.37
  5. Step 5: Solve for x
    x = 15,664.37/122.09
  6. Step 6: Final answer
    x = 128.31

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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.