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Finding the Fourth Proportional to 77.14, 106.51 and 47.67

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Solution

The fourth proportional to 77.14, 106.51 and 47.67 is: 65.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.14 : 106.51 = 47.67 : x
  2. Step 2: Convert to fraction form
    77.14/106.51 = 47.67/x
  3. Step 3: Cross multiply
    77.14x = 106.51 × 47.67
  4. Step 4: Simplify right side
    77.14x = 5,077.33
  5. Step 5: Solve for x
    x = 5,077.33/77.14
  6. Step 6: Final answer
    x = 65.82

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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.