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Finding the Fourth Proportional to 112.19, 155.54 and 106.04

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Solution

The fourth proportional to 112.19, 155.54 and 106.04 is: 147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.19 : 155.54 = 106.04 : x
  2. Step 2: Convert to fraction form
    112.19/155.54 = 106.04/x
  3. Step 3: Cross multiply
    112.19x = 155.54 × 106.04
  4. Step 4: Simplify right side
    112.19x = 16,493.46
  5. Step 5: Solve for x
    x = 16,493.46/112.19
  6. Step 6: Final answer
    x = 147.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.