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Finding the Fourth Proportional to 73.82, 102.06 and 62.17

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Solution

The fourth proportional to 73.82, 102.06 and 62.17 is: 85.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.82 : 102.06 = 62.17 : x
  2. Step 2: Convert to fraction form
    73.82/102.06 = 62.17/x
  3. Step 3: Cross multiply
    73.82x = 102.06 × 62.17
  4. Step 4: Simplify right side
    73.82x = 6,344.82
  5. Step 5: Solve for x
    x = 6,344.82/73.82
  6. Step 6: Final answer
    x = 85.95

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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.