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Finding the Fourth Proportional to 76.39, 105.39 and 50.50

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Solution

The fourth proportional to 76.39, 105.39 and 50.50 is: 69.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.39 : 105.39 = 50.50 : x
  2. Step 2: Convert to fraction form
    76.39/105.39 = 50.50/x
  3. Step 3: Cross multiply
    76.39x = 105.39 × 50.50
  4. Step 4: Simplify right side
    76.39x = 5,322.20
  5. Step 5: Solve for x
    x = 5,322.20/76.39
  6. Step 6: Final answer
    x = 69.67

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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.