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Finding the Fourth Proportional to 69.53, 95.78 and 47.66

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Solution

The fourth proportional to 69.53, 95.78 and 47.66 is: 65.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.53 : 95.78 = 47.66 : x
  2. Step 2: Convert to fraction form
    69.53/95.78 = 47.66/x
  3. Step 3: Cross multiply
    69.53x = 95.78 × 47.66
  4. Step 4: Simplify right side
    69.53x = 4,564.52
  5. Step 5: Solve for x
    x = 4,564.52/69.53
  6. Step 6: Final answer
    x = 65.65

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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.