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Finding the Fourth Proportional to 71.62, 98.81 and 59.92

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Solution

The fourth proportional to 71.62, 98.81 and 59.92 is: 82.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.62 : 98.81 = 59.92 : x
  2. Step 2: Convert to fraction form
    71.62/98.81 = 59.92/x
  3. Step 3: Cross multiply
    71.62x = 98.81 × 59.92
  4. Step 4: Simplify right side
    71.62x = 5,920.40
  5. Step 5: Solve for x
    x = 5,920.40/71.62
  6. Step 6: Final answer
    x = 82.66

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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.