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Finding the Fourth Proportional to 82.37, 113.42 and 77.86

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Solution

The fourth proportional to 82.37, 113.42 and 77.86 is: 107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.37 : 113.42 = 77.86 : x
  2. Step 2: Convert to fraction form
    82.37/113.42 = 77.86/x
  3. Step 3: Cross multiply
    82.37x = 113.42 × 77.86
  4. Step 4: Simplify right side
    82.37x = 8,830.88
  5. Step 5: Solve for x
    x = 8,830.88/82.37
  6. Step 6: Final answer
    x = 107.21

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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.