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Finding the Fourth Proportional to 71.50, 106.49 and 68.43

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Solution

The fourth proportional to 71.50, 106.49 and 68.43 is: 101.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.50 : 106.49 = 68.43 : x
  2. Step 2: Convert to fraction form
    71.50/106.49 = 68.43/x
  3. Step 3: Cross multiply
    71.50x = 106.49 × 68.43
  4. Step 4: Simplify right side
    71.50x = 7,286.89
  5. Step 5: Solve for x
    x = 7,286.89/71.50
  6. Step 6: Final answer
    x = 101.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.