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Finding the Fourth Proportional to 81.56, 112.46 and 77

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Solution

The fourth proportional to 81.56, 112.46 and 77 is: 106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.56 : 112.46 = 77 : x
  2. Step 2: Convert to fraction form
    81.56/112.46 = 77/x
  3. Step 3: Cross multiply
    81.56x = 112.46 × 77
  4. Step 4: Simplify right side
    81.56x = 8,659.42
  5. Step 5: Solve for x
    x = 8,659.42/81.56
  6. Step 6: Final answer
    x = 106.17

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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.