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Finding the Fourth Proportional to 61.66, 84.90 and 50.71

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Solution

The fourth proportional to 61.66, 84.90 and 50.71 is: 69.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.66 : 84.90 = 50.71 : x
  2. Step 2: Convert to fraction form
    61.66/84.90 = 50.71/x
  3. Step 3: Cross multiply
    61.66x = 84.90 × 50.71
  4. Step 4: Simplify right side
    61.66x = 4,305.28
  5. Step 5: Solve for x
    x = 4,305.28/61.66
  6. Step 6: Final answer
    x = 69.82

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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.