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Finding the Fourth Proportional to 50.14, 74.87 and 46.72

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Solution

The fourth proportional to 50.14, 74.87 and 46.72 is: 69.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.14 : 74.87 = 46.72 : x
  2. Step 2: Convert to fraction form
    50.14/74.87 = 46.72/x
  3. Step 3: Cross multiply
    50.14x = 74.87 × 46.72
  4. Step 4: Simplify right side
    50.14x = 3,497.93
  5. Step 5: Solve for x
    x = 3,497.93/50.14
  6. Step 6: Final answer
    x = 69.76

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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.