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Finding the Fourth Proportional to 76.34, 105.39 and 59.71

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Solution

The fourth proportional to 76.34, 105.39 and 59.71 is: 82.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.34 : 105.39 = 59.71 : x
  2. Step 2: Convert to fraction form
    76.34/105.39 = 59.71/x
  3. Step 3: Cross multiply
    76.34x = 105.39 × 59.71
  4. Step 4: Simplify right side
    76.34x = 6,292.84
  5. Step 5: Solve for x
    x = 6,292.84/76.34
  6. Step 6: Final answer
    x = 82.43

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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.