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Finding the Fourth Proportional to 68,539.86, 102,818.25 and 33,453

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Solution

The fourth proportional to 68,539.86, 102,818.25 and 33,453 is: 50,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,539.86 : 102,818.25 = 33,453 : x
  2. Step 2: Convert to fraction form
    68,539.86/102,818.25 = 33,453/x
  3. Step 3: Cross multiply
    68,539.86x = 102,818.25 × 33,453
  4. Step 4: Simplify right side
    68,539.86x = 3,439,578,917.25
  5. Step 5: Solve for x
    x = 3,439,578,917.25/68,539.86
  6. Step 6: Final answer
    x = 50,183.63

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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.