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Finding the Fourth Proportional to 112.92, 169.59 and 98.58

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Solution

The fourth proportional to 112.92, 169.59 and 98.58 is: 148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.92 : 169.59 = 98.58 : x
  2. Step 2: Convert to fraction form
    112.92/169.59 = 98.58/x
  3. Step 3: Cross multiply
    112.92x = 169.59 × 98.58
  4. Step 4: Simplify right side
    112.92x = 16,718.18
  5. Step 5: Solve for x
    x = 16,718.18/112.92
  6. Step 6: Final answer
    x = 148.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.