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Finding the Fourth Proportional to 99, 136.68 and 86.76

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Solution

The fourth proportional to 99, 136.68 and 86.76 is: 119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99 : 136.68 = 86.76 : x
  2. Step 2: Convert to fraction form
    99/136.68 = 86.76/x
  3. Step 3: Cross multiply
    99x = 136.68 × 86.76
  4. Step 4: Simplify right side
    99x = 11,858.36
  5. Step 5: Solve for x
    x = 11,858.36/99
  6. Step 6: Final answer
    x = 119.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.