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Finding the Fourth Proportional to 112.52, 154.90 and 98.68

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Solution

The fourth proportional to 112.52, 154.90 and 98.68 is: 135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.52 : 154.90 = 98.68 : x
  2. Step 2: Convert to fraction form
    112.52/154.90 = 98.68/x
  3. Step 3: Cross multiply
    112.52x = 154.90 × 98.68
  4. Step 4: Simplify right side
    112.52x = 15,285.00
  5. Step 5: Solve for x
    x = 15,285.00/112.52
  6. Step 6: Final answer
    x = 135.85

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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.