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Finding the Fourth Proportional to 76.50, 105.19 and 63.22

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Solution

The fourth proportional to 76.50, 105.19 and 63.22 is: 86.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.50 : 105.19 = 63.22 : x
  2. Step 2: Convert to fraction form
    76.50/105.19 = 63.22/x
  3. Step 3: Cross multiply
    76.50x = 105.19 × 63.22
  4. Step 4: Simplify right side
    76.50x = 6,650.11
  5. Step 5: Solve for x
    x = 6,650.11/76.50
  6. Step 6: Final answer
    x = 86.93

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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.