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Finding the Fourth Proportional to 123.86, 170.74 and 94.26

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Solution

The fourth proportional to 123.86, 170.74 and 94.26 is: 129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.86 : 170.74 = 94.26 : x
  2. Step 2: Convert to fraction form
    123.86/170.74 = 94.26/x
  3. Step 3: Cross multiply
    123.86x = 170.74 × 94.26
  4. Step 4: Simplify right side
    123.86x = 16,093.86
  5. Step 5: Solve for x
    x = 16,093.86/123.86
  6. Step 6: Final answer
    x = 129.93

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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.