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Finding the Fourth Proportional to 112.13, 154.83 and 98.48

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Solution

The fourth proportional to 112.13, 154.83 and 98.48 is: 135.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.13 : 154.83 = 98.48 : x
  2. Step 2: Convert to fraction form
    112.13/154.83 = 98.48/x
  3. Step 3: Cross multiply
    112.13x = 154.83 × 98.48
  4. Step 4: Simplify right side
    112.13x = 15,247.66
  5. Step 5: Solve for x
    x = 15,247.66/112.13
  6. Step 6: Final answer
    x = 135.98

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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.