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Finding the Fourth Proportional to 112.05, 154.21 and 79.24

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Solution

The fourth proportional to 112.05, 154.21 and 79.24 is: 109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.05 : 154.21 = 79.24 : x
  2. Step 2: Convert to fraction form
    112.05/154.21 = 79.24/x
  3. Step 3: Cross multiply
    112.05x = 154.21 × 79.24
  4. Step 4: Simplify right side
    112.05x = 12,219.40
  5. Step 5: Solve for x
    x = 12,219.40/112.05
  6. Step 6: Final answer
    x = 109.06

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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.