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Finding the Fourth Proportional to 81.99, 113.12 and 73.69

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Solution

The fourth proportional to 81.99, 113.12 and 73.69 is: 101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.99 : 113.12 = 73.69 : x
  2. Step 2: Convert to fraction form
    81.99/113.12 = 73.69/x
  3. Step 3: Cross multiply
    81.99x = 113.12 × 73.69
  4. Step 4: Simplify right side
    81.99x = 8,335.81
  5. Step 5: Solve for x
    x = 8,335.81/81.99
  6. Step 6: Final answer
    x = 101.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.