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Finding the Fourth Proportional to 99.83, 136.75 and 98.75

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Solution

The fourth proportional to 99.83, 136.75 and 98.75 is: 135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.83 : 136.75 = 98.75 : x
  2. Step 2: Convert to fraction form
    99.83/136.75 = 98.75/x
  3. Step 3: Cross multiply
    99.83x = 136.75 × 98.75
  4. Step 4: Simplify right side
    99.83x = 13,504.06
  5. Step 5: Solve for x
    x = 13,504.06/99.83
  6. Step 6: Final answer
    x = 135.27

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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.