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Finding the Fourth Proportional to 50.76, 69.89 and 47.12

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Solution

The fourth proportional to 50.76, 69.89 and 47.12 is: 64.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.76 : 69.89 = 47.12 : x
  2. Step 2: Convert to fraction form
    50.76/69.89 = 47.12/x
  3. Step 3: Cross multiply
    50.76x = 69.89 × 47.12
  4. Step 4: Simplify right side
    50.76x = 3,292.63
  5. Step 5: Solve for x
    x = 3,292.63/50.76
  6. Step 6: Final answer
    x = 64.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.