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Finding the Fourth Proportional to 48,747, 73,120.90 and 11,811

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Solution

The fourth proportional to 48,747, 73,120.90 and 11,811 is: 17,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,747 : 73,120.90 = 11,811 : x
  2. Step 2: Convert to fraction form
    48,747/73,120.90 = 11,811/x
  3. Step 3: Cross multiply
    48,747x = 73,120.90 × 11,811
  4. Step 4: Simplify right side
    48,747x = 863,630,949.90
  5. Step 5: Solve for x
    x = 863,630,949.90/48,747
  6. Step 6: Final answer
    x = 17,716.60

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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.