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Finding the Fourth Proportional to 111.82, 154.08 and 99.52

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Solution

The fourth proportional to 111.82, 154.08 and 99.52 is: 137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.82 : 154.08 = 99.52 : x
  2. Step 2: Convert to fraction form
    111.82/154.08 = 99.52/x
  3. Step 3: Cross multiply
    111.82x = 154.08 × 99.52
  4. Step 4: Simplify right side
    111.82x = 15,334.04
  5. Step 5: Solve for x
    x = 15,334.04/111.82
  6. Step 6: Final answer
    x = 137.13

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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.