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Finding the Fourth Proportional to 77.49, 106.88 and 63.81

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Solution

The fourth proportional to 77.49, 106.88 and 63.81 is: 88.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.49 : 106.88 = 63.81 : x
  2. Step 2: Convert to fraction form
    77.49/106.88 = 63.81/x
  3. Step 3: Cross multiply
    77.49x = 106.88 × 63.81
  4. Step 4: Simplify right side
    77.49x = 6,819.69
  5. Step 5: Solve for x
    x = 6,819.69/77.49
  6. Step 6: Final answer
    x = 88.01

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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.