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Finding the Fourth Proportional to 99.12, 137.73 and 98.05

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Solution

The fourth proportional to 99.12, 137.73 and 98.05 is: 136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.12 : 137.73 = 98.05 : x
  2. Step 2: Convert to fraction form
    99.12/137.73 = 98.05/x
  3. Step 3: Cross multiply
    99.12x = 137.73 × 98.05
  4. Step 4: Simplify right side
    99.12x = 13,503.69
  5. Step 5: Solve for x
    x = 13,503.69/99.12
  6. Step 6: Final answer
    x = 136.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.