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Finding the Fourth Proportional to 112.58, 168.11 and 89.50

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Solution

The fourth proportional to 112.58, 168.11 and 89.50 is: 133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.58 : 168.11 = 89.50 : x
  2. Step 2: Convert to fraction form
    112.58/168.11 = 89.50/x
  3. Step 3: Cross multiply
    112.58x = 168.11 × 89.50
  4. Step 4: Simplify right side
    112.58x = 15,045.85
  5. Step 5: Solve for x
    x = 15,045.85/112.58
  6. Step 6: Final answer
    x = 133.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.