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Finding the Fourth Proportional to 67.94, 101.86 and 31.40

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Solution

The fourth proportional to 67.94, 101.86 and 31.40 is: 47.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.94 : 101.86 = 31.40 : x
  2. Step 2: Convert to fraction form
    67.94/101.86 = 31.40/x
  3. Step 3: Cross multiply
    67.94x = 101.86 × 31.40
  4. Step 4: Simplify right side
    67.94x = 3,198.34
  5. Step 5: Solve for x
    x = 3,198.34/67.94
  6. Step 6: Final answer
    x = 47.08

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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.