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Finding the Fourth Proportional to 64.14, 96.43 and 50.78

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Solution

The fourth proportional to 64.14, 96.43 and 50.78 is: 76.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.14 : 96.43 = 50.78 : x
  2. Step 2: Convert to fraction form
    64.14/96.43 = 50.78/x
  3. Step 3: Cross multiply
    64.14x = 96.43 × 50.78
  4. Step 4: Simplify right side
    64.14x = 4,896.72
  5. Step 5: Solve for x
    x = 4,896.72/64.14
  6. Step 6: Final answer
    x = 76.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.