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Finding the Fourth Proportional to 121.42, 181.36 and 114.40

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Solution

The fourth proportional to 121.42, 181.36 and 114.40 is: 170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.42 : 181.36 = 114.40 : x
  2. Step 2: Convert to fraction form
    121.42/181.36 = 114.40/x
  3. Step 3: Cross multiply
    121.42x = 181.36 × 114.40
  4. Step 4: Simplify right side
    121.42x = 20,746.11
  5. Step 5: Solve for x
    x = 20,746.11/121.42
  6. Step 6: Final answer
    x = 170.87

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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.