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Finding the Fourth Proportional to 47,764.80, 71,647.11 and 12,704.49

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Solution

The fourth proportional to 47,764.80, 71,647.11 and 12,704.49 is: 19,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764.80 : 71,647.11 = 12,704.49 : x
  2. Step 2: Convert to fraction form
    47,764.80/71,647.11 = 12,704.49/x
  3. Step 3: Cross multiply
    47,764.80x = 71,647.11 × 12,704.49
  4. Step 4: Simplify right side
    47,764.80x = 910,239,992.52
  5. Step 5: Solve for x
    x = 910,239,992.52/47,764.80
  6. Step 6: Final answer
    x = 19,056.71

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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.