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Finding the Fourth Proportional to 97.24, 145.25 and 81

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Solution

The fourth proportional to 97.24, 145.25 and 81 is: 120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.24 : 145.25 = 81 : x
  2. Step 2: Convert to fraction form
    97.24/145.25 = 81/x
  3. Step 3: Cross multiply
    97.24x = 145.25 × 81
  4. Step 4: Simplify right side
    97.24x = 11,765.25
  5. Step 5: Solve for x
    x = 11,765.25/97.24
  6. Step 6: Final answer
    x = 120.99

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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.