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Finding the Fourth Proportional to 50.62, 75.49 and 47.56

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Solution

The fourth proportional to 50.62, 75.49 and 47.56 is: 70.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.62 : 75.49 = 47.56 : x
  2. Step 2: Convert to fraction form
    50.62/75.49 = 47.56/x
  3. Step 3: Cross multiply
    50.62x = 75.49 × 47.56
  4. Step 4: Simplify right side
    50.62x = 3,590.30
  5. Step 5: Solve for x
    x = 3,590.30/50.62
  6. Step 6: Final answer
    x = 70.93

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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.