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Finding the Fourth Proportional to 142.19, 213.23 and 50.86

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Solution

The fourth proportional to 142.19, 213.23 and 50.86 is: 76.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.19 : 213.23 = 50.86 : x
  2. Step 2: Convert to fraction form
    142.19/213.23 = 50.86/x
  3. Step 3: Cross multiply
    142.19x = 213.23 × 50.86
  4. Step 4: Simplify right side
    142.19x = 10,844.47
  5. Step 5: Solve for x
    x = 10,844.47/142.19
  6. Step 6: Final answer
    x = 76.27

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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.