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Finding the Fourth Proportional to 70.89, 106.41 and 50.72

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Solution

The fourth proportional to 70.89, 106.41 and 50.72 is: 76.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.89 : 106.41 = 50.72 : x
  2. Step 2: Convert to fraction form
    70.89/106.41 = 50.72/x
  3. Step 3: Cross multiply
    70.89x = 106.41 × 50.72
  4. Step 4: Simplify right side
    70.89x = 5,396.58
  5. Step 5: Solve for x
    x = 5,396.58/70.89
  6. Step 6: Final answer
    x = 76.13

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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.