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Finding the Fourth Proportional to 112.79, 168.35 and 98.46

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Solution

The fourth proportional to 112.79, 168.35 and 98.46 is: 146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.79 : 168.35 = 98.46 : x
  2. Step 2: Convert to fraction form
    112.79/168.35 = 98.46/x
  3. Step 3: Cross multiply
    112.79x = 168.35 × 98.46
  4. Step 4: Simplify right side
    112.79x = 16,575.25
  5. Step 5: Solve for x
    x = 16,575.25/112.79
  6. Step 6: Final answer
    x = 146.96

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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.