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Finding the Fourth Proportional to 48,787, 73,180.68 and 11,851

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Solution

The fourth proportional to 48,787, 73,180.68 and 11,851 is: 17,776.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,787 : 73,180.68 = 11,851 : x
  2. Step 2: Convert to fraction form
    48,787/73,180.68 = 11,851/x
  3. Step 3: Cross multiply
    48,787x = 73,180.68 × 11,851
  4. Step 4: Simplify right side
    48,787x = 867,264,238.68
  5. Step 5: Solve for x
    x = 867,264,238.68/48,787
  6. Step 6: Final answer
    x = 17,776.54

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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.