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Finding the Fourth Proportional to 141.42, 212.42 and 123.20

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Solution

The fourth proportional to 141.42, 212.42 and 123.20 is: 185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.42 : 212.42 = 123.20 : x
  2. Step 2: Convert to fraction form
    141.42/212.42 = 123.20/x
  3. Step 3: Cross multiply
    141.42x = 212.42 × 123.20
  4. Step 4: Simplify right side
    141.42x = 26,170.14
  5. Step 5: Solve for x
    x = 26,170.14/141.42
  6. Step 6: Final answer
    x = 185.05

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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.