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Finding the Fourth Proportional to 49.93, 75.24 and 47.61

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Solution

The fourth proportional to 49.93, 75.24 and 47.61 is: 71.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.93 : 75.24 = 47.61 : x
  2. Step 2: Convert to fraction form
    49.93/75.24 = 47.61/x
  3. Step 3: Cross multiply
    49.93x = 75.24 × 47.61
  4. Step 4: Simplify right side
    49.93x = 3,582.09
  5. Step 5: Solve for x
    x = 3,582.09/49.93
  6. Step 6: Final answer
    x = 71.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.