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Finding the Fourth Proportional to 112.20, 154.71 and 109.70

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Solution

The fourth proportional to 112.20, 154.71 and 109.70 is: 151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.20 : 154.71 = 109.70 : x
  2. Step 2: Convert to fraction form
    112.20/154.71 = 109.70/x
  3. Step 3: Cross multiply
    112.20x = 154.71 × 109.70
  4. Step 4: Simplify right side
    112.20x = 16,970.91
  5. Step 5: Solve for x
    x = 16,970.91/112.20
  6. Step 6: Final answer
    x = 151.26

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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.