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Finding the Fourth Proportional to 121.90, 181.96 and 113

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Solution

The fourth proportional to 121.90, 181.96 and 113 is: 168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.90 : 181.96 = 113 : x
  2. Step 2: Convert to fraction form
    121.90/181.96 = 113/x
  3. Step 3: Cross multiply
    121.90x = 181.96 × 113
  4. Step 4: Simplify right side
    121.90x = 20,561.48
  5. Step 5: Solve for x
    x = 20,561.48/121.90
  6. Step 6: Final answer
    x = 168.67

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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.