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Finding the Fourth Proportional to 113.76, 171.48 and 112.86

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Solution

The fourth proportional to 113.76, 171.48 and 112.86 is: 170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.76 : 171.48 = 112.86 : x
  2. Step 2: Convert to fraction form
    113.76/171.48 = 112.86/x
  3. Step 3: Cross multiply
    113.76x = 171.48 × 112.86
  4. Step 4: Simplify right side
    113.76x = 19,353.23
  5. Step 5: Solve for x
    x = 19,353.23/113.76
  6. Step 6: Final answer
    x = 170.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.