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Finding the Fourth Proportional to 94.37, 141.08 and 71.42

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Solution

The fourth proportional to 94.37, 141.08 and 71.42 is: 106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.37 : 141.08 = 71.42 : x
  2. Step 2: Convert to fraction form
    94.37/141.08 = 71.42/x
  3. Step 3: Cross multiply
    94.37x = 141.08 × 71.42
  4. Step 4: Simplify right side
    94.37x = 10,074.87
  5. Step 5: Solve for x
    x = 10,074.87/94.37
  6. Step 6: Final answer
    x = 106.76

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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.