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Finding the Fourth Proportional to 50.91, 75.87 and 49.71

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Solution

The fourth proportional to 50.91, 75.87 and 49.71 is: 74.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.91 : 75.87 = 49.71 : x
  2. Step 2: Convert to fraction form
    50.91/75.87 = 49.71/x
  3. Step 3: Cross multiply
    50.91x = 75.87 × 49.71
  4. Step 4: Simplify right side
    50.91x = 3,771.50
  5. Step 5: Solve for x
    x = 3,771.50/50.91
  6. Step 6: Final answer
    x = 74.08

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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.