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Finding the Fourth Proportional to 109.99, 164.68 and 82.86

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Solution

The fourth proportional to 109.99, 164.68 and 82.86 is: 124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.99 : 164.68 = 82.86 : x
  2. Step 2: Convert to fraction form
    109.99/164.68 = 82.86/x
  3. Step 3: Cross multiply
    109.99x = 164.68 × 82.86
  4. Step 4: Simplify right side
    109.99x = 13,644.66
  5. Step 5: Solve for x
    x = 13,644.66/109.99
  6. Step 6: Final answer
    x = 124.05

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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.