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Finding the Fourth Proportional to 109.81, 164.68 and 48.99

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Solution

The fourth proportional to 109.81, 164.68 and 48.99 is: 73.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.81 : 164.68 = 48.99 : x
  2. Step 2: Convert to fraction form
    109.81/164.68 = 48.99/x
  3. Step 3: Cross multiply
    109.81x = 164.68 × 48.99
  4. Step 4: Simplify right side
    109.81x = 8,067.67
  5. Step 5: Solve for x
    x = 8,067.67/109.81
  6. Step 6: Final answer
    x = 73.47

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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.