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Finding the Fourth Proportional to 106.14, 146.42 and 66.78

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Solution

The fourth proportional to 106.14, 146.42 and 66.78 is: 92.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.14 : 146.42 = 66.78 : x
  2. Step 2: Convert to fraction form
    106.14/146.42 = 66.78/x
  3. Step 3: Cross multiply
    106.14x = 146.42 × 66.78
  4. Step 4: Simplify right side
    106.14x = 9,777.93
  5. Step 5: Solve for x
    x = 9,777.93/106.14
  6. Step 6: Final answer
    x = 92.12

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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.