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Finding the Fourth Proportional to 67.62, 92.90 and 56.70

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Solution

The fourth proportional to 67.62, 92.90 and 56.70 is: 77.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.62 : 92.90 = 56.70 : x
  2. Step 2: Convert to fraction form
    67.62/92.90 = 56.70/x
  3. Step 3: Cross multiply
    67.62x = 92.90 × 56.70
  4. Step 4: Simplify right side
    67.62x = 5,267.15
  5. Step 5: Solve for x
    x = 5,267.15/67.62
  6. Step 6: Final answer
    x = 77.89

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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.