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Finding the Fourth Proportional to 97.82, 146.61 and 74.51

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Solution

The fourth proportional to 97.82, 146.61 and 74.51 is: 111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.82 : 146.61 = 74.51 : x
  2. Step 2: Convert to fraction form
    97.82/146.61 = 74.51/x
  3. Step 3: Cross multiply
    97.82x = 146.61 × 74.51
  4. Step 4: Simplify right side
    97.82x = 10,923.91
  5. Step 5: Solve for x
    x = 10,923.91/97.82
  6. Step 6: Final answer
    x = 111.67

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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.