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Finding the Fourth Proportional to 94.00, 140.96 and 36.19

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Solution

The fourth proportional to 94.00, 140.96 and 36.19 is: 54.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.00 : 140.96 = 36.19 : x
  2. Step 2: Convert to fraction form
    94.00/140.96 = 36.19/x
  3. Step 3: Cross multiply
    94.00x = 140.96 × 36.19
  4. Step 4: Simplify right side
    94.00x = 5,101.11
  5. Step 5: Solve for x
    x = 5,101.11/94.00
  6. Step 6: Final answer
    x = 54.27

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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.