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Finding the Fourth Proportional to 112.94, 169.42 and 31.78

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Solution

The fourth proportional to 112.94, 169.42 and 31.78 is: 47.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.94 : 169.42 = 31.78 : x
  2. Step 2: Convert to fraction form
    112.94/169.42 = 31.78/x
  3. Step 3: Cross multiply
    112.94x = 169.42 × 31.78
  4. Step 4: Simplify right side
    112.94x = 5,384.17
  5. Step 5: Solve for x
    x = 5,384.17/112.94
  6. Step 6: Final answer
    x = 47.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.