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Finding the Fourth Proportional to 112.14, 153.78 and 108.06

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Solution

The fourth proportional to 112.14, 153.78 and 108.06 is: 148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.14 : 153.78 = 108.06 : x
  2. Step 2: Convert to fraction form
    112.14/153.78 = 108.06/x
  3. Step 3: Cross multiply
    112.14x = 153.78 × 108.06
  4. Step 4: Simplify right side
    112.14x = 16,617.47
  5. Step 5: Solve for x
    x = 16,617.47/112.14
  6. Step 6: Final answer
    x = 148.19

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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.