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Finding the Fourth Proportional to 131.71, 196.50 and 121.90

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Solution

The fourth proportional to 131.71, 196.50 and 121.90 is: 181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.71 : 196.50 = 121.90 : x
  2. Step 2: Convert to fraction form
    131.71/196.50 = 121.90/x
  3. Step 3: Cross multiply
    131.71x = 196.50 × 121.90
  4. Step 4: Simplify right side
    131.71x = 23,953.35
  5. Step 5: Solve for x
    x = 23,953.35/131.71
  6. Step 6: Final answer
    x = 181.86

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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.