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Finding the Fourth Proportional to 63.24, 87.20 and 47.67

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Solution

The fourth proportional to 63.24, 87.20 and 47.67 is: 65.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.24 : 87.20 = 47.67 : x
  2. Step 2: Convert to fraction form
    63.24/87.20 = 47.67/x
  3. Step 3: Cross multiply
    63.24x = 87.20 × 47.67
  4. Step 4: Simplify right side
    63.24x = 4,156.82
  5. Step 5: Solve for x
    x = 4,156.82/63.24
  6. Step 6: Final answer
    x = 65.73

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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.