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Finding the Fourth Proportional to 99.82, 136.91 and 92.26

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Solution

The fourth proportional to 99.82, 136.91 and 92.26 is: 126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.82 : 136.91 = 92.26 : x
  2. Step 2: Convert to fraction form
    99.82/136.91 = 92.26/x
  3. Step 3: Cross multiply
    99.82x = 136.91 × 92.26
  4. Step 4: Simplify right side
    99.82x = 12,631.32
  5. Step 5: Solve for x
    x = 12,631.32/99.82
  6. Step 6: Final answer
    x = 126.54

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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.