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Finding the Fourth Proportional to 110.68, 151.78 and 99.73

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Solution

The fourth proportional to 110.68, 151.78 and 99.73 is: 136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.68 : 151.78 = 99.73 : x
  2. Step 2: Convert to fraction form
    110.68/151.78 = 99.73/x
  3. Step 3: Cross multiply
    110.68x = 151.78 × 99.73
  4. Step 4: Simplify right side
    110.68x = 15,137.02
  5. Step 5: Solve for x
    x = 15,137.02/110.68
  6. Step 6: Final answer
    x = 136.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.