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Finding the Fourth Proportional to 111.51, 154.17 and 86.94

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Solution

The fourth proportional to 111.51, 154.17 and 86.94 is: 120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.51 : 154.17 = 86.94 : x
  2. Step 2: Convert to fraction form
    111.51/154.17 = 86.94/x
  3. Step 3: Cross multiply
    111.51x = 154.17 × 86.94
  4. Step 4: Simplify right side
    111.51x = 13,403.54
  5. Step 5: Solve for x
    x = 13,403.54/111.51
  6. Step 6: Final answer
    x = 120.20

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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.