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Finding the Fourth Proportional to 131.12, 195.72 and 121.61

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Solution

The fourth proportional to 131.12, 195.72 and 121.61 is: 181.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.12 : 195.72 = 121.61 : x
  2. Step 2: Convert to fraction form
    131.12/195.72 = 121.61/x
  3. Step 3: Cross multiply
    131.12x = 195.72 × 121.61
  4. Step 4: Simplify right side
    131.12x = 23,801.51
  5. Step 5: Solve for x
    x = 23,801.51/131.12
  6. Step 6: Final answer
    x = 181.53

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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.