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Finding the Fourth Proportional to 142.91, 213.90 and 121.04

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Solution

The fourth proportional to 142.91, 213.90 and 121.04 is: 181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.91 : 213.90 = 121.04 : x
  2. Step 2: Convert to fraction form
    142.91/213.90 = 121.04/x
  3. Step 3: Cross multiply
    142.91x = 213.90 × 121.04
  4. Step 4: Simplify right side
    142.91x = 25,889.39
  5. Step 5: Solve for x
    x = 25,889.39/142.91
  6. Step 6: Final answer
    x = 181.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.