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Finding the Fourth Proportional to 67.45, 92.94 and 51.91

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Solution

The fourth proportional to 67.45, 92.94 and 51.91 is: 71.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.45 : 92.94 = 51.91 : x
  2. Step 2: Convert to fraction form
    67.45/92.94 = 51.91/x
  3. Step 3: Cross multiply
    67.45x = 92.94 × 51.91
  4. Step 4: Simplify right side
    67.45x = 4,824.52
  5. Step 5: Solve for x
    x = 4,824.52/67.45
  6. Step 6: Final answer
    x = 71.53

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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.