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Finding the Fourth Proportional to 98.85, 149.04 and 83.75

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Solution

The fourth proportional to 98.85, 149.04 and 83.75 is: 126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.85 : 149.04 = 83.75 : x
  2. Step 2: Convert to fraction form
    98.85/149.04 = 83.75/x
  3. Step 3: Cross multiply
    98.85x = 149.04 × 83.75
  4. Step 4: Simplify right side
    98.85x = 12,481.35
  5. Step 5: Solve for x
    x = 12,481.35/98.85
  6. Step 6: Final answer
    x = 126.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.