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Finding the Fourth Proportional to 112.75, 156.01 and 98.23

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Solution

The fourth proportional to 112.75, 156.01 and 98.23 is: 135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.75 : 156.01 = 98.23 : x
  2. Step 2: Convert to fraction form
    112.75/156.01 = 98.23/x
  3. Step 3: Cross multiply
    112.75x = 156.01 × 98.23
  4. Step 4: Simplify right side
    112.75x = 15,324.70
  5. Step 5: Solve for x
    x = 15,324.70/112.75
  6. Step 6: Final answer
    x = 135.91

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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.