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Finding the Fourth Proportional to 77.57, 106.94 and 59.11

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Solution

The fourth proportional to 77.57, 106.94 and 59.11 is: 81.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.57 : 106.94 = 59.11 : x
  2. Step 2: Convert to fraction form
    77.57/106.94 = 59.11/x
  3. Step 3: Cross multiply
    77.57x = 106.94 × 59.11
  4. Step 4: Simplify right side
    77.57x = 6,321.37
  5. Step 5: Solve for x
    x = 6,321.37/77.57
  6. Step 6: Final answer
    x = 81.49

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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.