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Finding the Fourth Proportional to 112.48, 167.99 and 106.24

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Solution

The fourth proportional to 112.48, 167.99 and 106.24 is: 158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.48 : 167.99 = 106.24 : x
  2. Step 2: Convert to fraction form
    112.48/167.99 = 106.24/x
  3. Step 3: Cross multiply
    112.48x = 167.99 × 106.24
  4. Step 4: Simplify right side
    112.48x = 17,847.26
  5. Step 5: Solve for x
    x = 17,847.26/112.48
  6. Step 6: Final answer
    x = 158.67

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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.