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Finding the Fourth Proportional to 71.24, 106.45 and 50.84

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Solution

The fourth proportional to 71.24, 106.45 and 50.84 is: 75.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.24 : 106.45 = 50.84 : x
  2. Step 2: Convert to fraction form
    71.24/106.45 = 50.84/x
  3. Step 3: Cross multiply
    71.24x = 106.45 × 50.84
  4. Step 4: Simplify right side
    71.24x = 5,411.92
  5. Step 5: Solve for x
    x = 5,411.92/71.24
  6. Step 6: Final answer
    x = 75.97

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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.