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Finding the Fourth Proportional to 94.76, 141.42 and 83.01

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Solution

The fourth proportional to 94.76, 141.42 and 83.01 is: 123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.76 : 141.42 = 83.01 : x
  2. Step 2: Convert to fraction form
    94.76/141.42 = 83.01/x
  3. Step 3: Cross multiply
    94.76x = 141.42 × 83.01
  4. Step 4: Simplify right side
    94.76x = 11,739.27
  5. Step 5: Solve for x
    x = 11,739.27/94.76
  6. Step 6: Final answer
    x = 123.88

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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.