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Finding the Fourth Proportional to 142.11, 212.93 and 107.83

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Solution

The fourth proportional to 142.11, 212.93 and 107.83 is: 161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.11 : 212.93 = 107.83 : x
  2. Step 2: Convert to fraction form
    142.11/212.93 = 107.83/x
  3. Step 3: Cross multiply
    142.11x = 212.93 × 107.83
  4. Step 4: Simplify right side
    142.11x = 22,959.98
  5. Step 5: Solve for x
    x = 22,959.98/142.11
  6. Step 6: Final answer
    x = 161.56

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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.