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Finding the Fourth Proportional to 126, 172.96 and 111.88

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Solution

The fourth proportional to 126, 172.96 and 111.88 is: 153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126 : 172.96 = 111.88 : x
  2. Step 2: Convert to fraction form
    126/172.96 = 111.88/x
  3. Step 3: Cross multiply
    126x = 172.96 × 111.88
  4. Step 4: Simplify right side
    126x = 19,350.76
  5. Step 5: Solve for x
    x = 19,350.76/126
  6. Step 6: Final answer
    x = 153.58

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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.