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Finding the Fourth Proportional to 202,638, 303,957 and 54,894

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Solution

The fourth proportional to 202,638, 303,957 and 54,894 is: 82,341

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,638 : 303,957 = 54,894 : x
  2. Step 2: Convert to fraction form
    202,638/303,957 = 54,894/x
  3. Step 3: Cross multiply
    202,638x = 303,957 × 54,894
  4. Step 4: Simplify right side
    202,638x = 16,685,415,558
  5. Step 5: Solve for x
    x = 16,685,415,558/202,638
  6. Step 6: Final answer
    x = 82,341

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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.