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Finding the Fourth Proportional to 121.75, 181.80 and 107.00

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Solution

The fourth proportional to 121.75, 181.80 and 107.00 is: 159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.75 : 181.80 = 107.00 : x
  2. Step 2: Convert to fraction form
    121.75/181.80 = 107.00/x
  3. Step 3: Cross multiply
    121.75x = 181.80 × 107.00
  4. Step 4: Simplify right side
    121.75x = 19,452.37
  5. Step 5: Solve for x
    x = 19,452.37/121.75
  6. Step 6: Final answer
    x = 159.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.