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Finding the Fourth Proportional to 126.88, 173.84 and 112.32

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Solution

The fourth proportional to 126.88, 173.84 and 112.32 is: 153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.88 : 173.84 = 112.32 : x
  2. Step 2: Convert to fraction form
    126.88/173.84 = 112.32/x
  3. Step 3: Cross multiply
    126.88x = 173.84 × 112.32
  4. Step 4: Simplify right side
    126.88x = 19,525.71
  5. Step 5: Solve for x
    x = 19,525.71/126.88
  6. Step 6: Final answer
    x = 153.89

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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.