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Finding the Fourth Proportional to 47.64, 71.11 and 42.78

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Solution

The fourth proportional to 47.64, 71.11 and 42.78 is: 63.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.64 : 71.11 = 42.78 : x
  2. Step 2: Convert to fraction form
    47.64/71.11 = 42.78/x
  3. Step 3: Cross multiply
    47.64x = 71.11 × 42.78
  4. Step 4: Simplify right side
    47.64x = 3,041.98
  5. Step 5: Solve for x
    x = 3,041.98/47.64
  6. Step 6: Final answer
    x = 63.85

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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.