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Finding the Fourth Proportional to 109.21, 150.78 and 76.54

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Solution

The fourth proportional to 109.21, 150.78 and 76.54 is: 105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.21 : 150.78 = 76.54 : x
  2. Step 2: Convert to fraction form
    109.21/150.78 = 76.54/x
  3. Step 3: Cross multiply
    109.21x = 150.78 × 76.54
  4. Step 4: Simplify right side
    109.21x = 11,540.70
  5. Step 5: Solve for x
    x = 11,540.70/109.21
  6. Step 6: Final answer
    x = 105.67

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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.