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Finding the Fourth Proportional to 112.17, 168.84 and 98.94

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Solution

The fourth proportional to 112.17, 168.84 and 98.94 is: 148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.17 : 168.84 = 98.94 : x
  2. Step 2: Convert to fraction form
    112.17/168.84 = 98.94/x
  3. Step 3: Cross multiply
    112.17x = 168.84 × 98.94
  4. Step 4: Simplify right side
    112.17x = 16,705.03
  5. Step 5: Solve for x
    x = 16,705.03/112.17
  6. Step 6: Final answer
    x = 148.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.