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Finding the Fourth Proportional to 105.76, 158.60 and 47.96

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Solution

The fourth proportional to 105.76, 158.60 and 47.96 is: 71.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.76 : 158.60 = 47.96 : x
  2. Step 2: Convert to fraction form
    105.76/158.60 = 47.96/x
  3. Step 3: Cross multiply
    105.76x = 158.60 × 47.96
  4. Step 4: Simplify right side
    105.76x = 7,606.46
  5. Step 5: Solve for x
    x = 7,606.46/105.76
  6. Step 6: Final answer
    x = 71.92

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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.