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Finding the Fourth Proportional to 94.81, 142.21 and 65.76

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Solution

The fourth proportional to 94.81, 142.21 and 65.76 is: 98.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.81 : 142.21 = 65.76 : x
  2. Step 2: Convert to fraction form
    94.81/142.21 = 65.76/x
  3. Step 3: Cross multiply
    94.81x = 142.21 × 65.76
  4. Step 4: Simplify right side
    94.81x = 9,351.89
  5. Step 5: Solve for x
    x = 9,351.89/94.81
  6. Step 6: Final answer
    x = 98.64

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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.