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Finding the Fourth Proportional to 77.09, 106.39 and 47.59

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Solution

The fourth proportional to 77.09, 106.39 and 47.59 is: 65.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.09 : 106.39 = 47.59 : x
  2. Step 2: Convert to fraction form
    77.09/106.39 = 47.59/x
  3. Step 3: Cross multiply
    77.09x = 106.39 × 47.59
  4. Step 4: Simplify right side
    77.09x = 5,063.10
  5. Step 5: Solve for x
    x = 5,063.10/77.09
  6. Step 6: Final answer
    x = 65.68

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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.