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Finding the Fourth Proportional to 99.62, 149.08 and 61.09

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Solution

The fourth proportional to 99.62, 149.08 and 61.09 is: 91.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.62 : 149.08 = 61.09 : x
  2. Step 2: Convert to fraction form
    99.62/149.08 = 61.09/x
  3. Step 3: Cross multiply
    99.62x = 149.08 × 61.09
  4. Step 4: Simplify right side
    99.62x = 9,107.30
  5. Step 5: Solve for x
    x = 9,107.30/99.62
  6. Step 6: Final answer
    x = 91.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.