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Finding the Fourth Proportional to 128.12, 191.18 and 111.72

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Solution

The fourth proportional to 128.12, 191.18 and 111.72 is: 166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.12 : 191.18 = 111.72 : x
  2. Step 2: Convert to fraction form
    128.12/191.18 = 111.72/x
  3. Step 3: Cross multiply
    128.12x = 191.18 × 111.72
  4. Step 4: Simplify right side
    128.12x = 21,358.63
  5. Step 5: Solve for x
    x = 21,358.63/128.12
  6. Step 6: Final answer
    x = 166.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.