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Finding the Fourth Proportional to 122.81, 185.06 and 109.17

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Solution

The fourth proportional to 122.81, 185.06 and 109.17 is: 164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.81 : 185.06 = 109.17 : x
  2. Step 2: Convert to fraction form
    122.81/185.06 = 109.17/x
  3. Step 3: Cross multiply
    122.81x = 185.06 × 109.17
  4. Step 4: Simplify right side
    122.81x = 20,203.27
  5. Step 5: Solve for x
    x = 20,203.27/122.81
  6. Step 6: Final answer
    x = 164.52

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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.