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Finding the Fourth Proportional to 112.88, 155.63 and 81.83

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Solution

The fourth proportional to 112.88, 155.63 and 81.83 is: 112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.88 : 155.63 = 81.83 : x
  2. Step 2: Convert to fraction form
    112.88/155.63 = 81.83/x
  3. Step 3: Cross multiply
    112.88x = 155.63 × 81.83
  4. Step 4: Simplify right side
    112.88x = 12,734.79
  5. Step 5: Solve for x
    x = 12,734.79/112.88
  6. Step 6: Final answer
    x = 112.82

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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.