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Finding the Fourth Proportional to 48,757, 73,135.50 and 11,821

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Solution

The fourth proportional to 48,757, 73,135.50 and 11,821 is: 17,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,757 : 73,135.50 = 11,821 : x
  2. Step 2: Convert to fraction form
    48,757/73,135.50 = 11,821/x
  3. Step 3: Cross multiply
    48,757x = 73,135.50 × 11,821
  4. Step 4: Simplify right side
    48,757x = 864,534,745.50
  5. Step 5: Solve for x
    x = 864,534,745.50/48,757
  6. Step 6: Final answer
    x = 17,731.50

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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.