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Finding the Fourth Proportional to 67.16, 92.14 and 61.70

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Solution

The fourth proportional to 67.16, 92.14 and 61.70 is: 84.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.16 : 92.14 = 61.70 : x
  2. Step 2: Convert to fraction form
    67.16/92.14 = 61.70/x
  3. Step 3: Cross multiply
    67.16x = 92.14 × 61.70
  4. Step 4: Simplify right side
    67.16x = 5,684.42
  5. Step 5: Solve for x
    x = 5,684.42/67.16
  6. Step 6: Final answer
    x = 84.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.