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Finding the Fourth Proportional to 81, 110.70 and 77.22

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Solution

The fourth proportional to 81, 110.70 and 77.22 is: 105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81 : 110.70 = 77.22 : x
  2. Step 2: Convert to fraction form
    81/110.70 = 77.22/x
  3. Step 3: Cross multiply
    81x = 110.70 × 77.22
  4. Step 4: Simplify right side
    81x = 8,548.25
  5. Step 5: Solve for x
    x = 8,548.25/81
  6. Step 6: Final answer
    x = 105.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.