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Finding the Fourth Proportional to 121.04, 182.38 and 109.64

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Solution

The fourth proportional to 121.04, 182.38 and 109.64 is: 165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.04 : 182.38 = 109.64 : x
  2. Step 2: Convert to fraction form
    121.04/182.38 = 109.64/x
  3. Step 3: Cross multiply
    121.04x = 182.38 × 109.64
  4. Step 4: Simplify right side
    121.04x = 19,996.14
  5. Step 5: Solve for x
    x = 19,996.14/121.04
  6. Step 6: Final answer
    x = 165.20

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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.