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Finding the Fourth Proportional to 59.34, 81.92 and 47.66

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Solution

The fourth proportional to 59.34, 81.92 and 47.66 is: 65.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.34 : 81.92 = 47.66 : x
  2. Step 2: Convert to fraction form
    59.34/81.92 = 47.66/x
  3. Step 3: Cross multiply
    59.34x = 81.92 × 47.66
  4. Step 4: Simplify right side
    59.34x = 3,903.66
  5. Step 5: Solve for x
    x = 3,903.66/59.34
  6. Step 6: Final answer
    x = 65.78

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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.