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Finding the Fourth Proportional to 112.49, 154.23 and 109.45

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Solution

The fourth proportional to 112.49, 154.23 and 109.45 is: 150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.49 : 154.23 = 109.45 : x
  2. Step 2: Convert to fraction form
    112.49/154.23 = 109.45/x
  3. Step 3: Cross multiply
    112.49x = 154.23 × 109.45
  4. Step 4: Simplify right side
    112.49x = 16,880.56
  5. Step 5: Solve for x
    x = 16,880.56/112.49
  6. Step 6: Final answer
    x = 150.06

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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.