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Finding the Fourth Proportional to 123.76, 170.88 and 92.75

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Solution

The fourth proportional to 123.76, 170.88 and 92.75 is: 128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.76 : 170.88 = 92.75 : x
  2. Step 2: Convert to fraction form
    123.76/170.88 = 92.75/x
  3. Step 3: Cross multiply
    123.76x = 170.88 × 92.75
  4. Step 4: Simplify right side
    123.76x = 15,847.92
  5. Step 5: Solve for x
    x = 15,847.92/123.76
  6. Step 6: Final answer
    x = 128.05

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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.