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Finding the Fourth Proportional to 113.76, 156.96 and 111.96

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Solution

The fourth proportional to 113.76, 156.96 and 111.96 is: 154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.76 : 156.96 = 111.96 : x
  2. Step 2: Convert to fraction form
    113.76/156.96 = 111.96/x
  3. Step 3: Cross multiply
    113.76x = 156.96 × 111.96
  4. Step 4: Simplify right side
    113.76x = 17,573.24
  5. Step 5: Solve for x
    x = 17,573.24/113.76
  6. Step 6: Final answer
    x = 154.48

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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.