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Finding the Fourth Proportional to 112.24, 153.95 and 105.62

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Solution

The fourth proportional to 112.24, 153.95 and 105.62 is: 144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.24 : 153.95 = 105.62 : x
  2. Step 2: Convert to fraction form
    112.24/153.95 = 105.62/x
  3. Step 3: Cross multiply
    112.24x = 153.95 × 105.62
  4. Step 4: Simplify right side
    112.24x = 16,260.36
  5. Step 5: Solve for x
    x = 16,260.36/112.24
  6. Step 6: Final answer
    x = 144.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.