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Finding the Fourth Proportional to 92.84, 139.42 and 61

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Solution

The fourth proportional to 92.84, 139.42 and 61 is: 91.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.84 : 139.42 = 61 : x
  2. Step 2: Convert to fraction form
    92.84/139.42 = 61/x
  3. Step 3: Cross multiply
    92.84x = 139.42 × 61
  4. Step 4: Simplify right side
    92.84x = 8,504.62
  5. Step 5: Solve for x
    x = 8,504.62/92.84
  6. Step 6: Final answer
    x = 91.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.