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Finding the Fourth Proportional to 202,650, 303,975 and 54,906

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Solution

The fourth proportional to 202,650, 303,975 and 54,906 is: 82,359

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,650 : 303,975 = 54,906 : x
  2. Step 2: Convert to fraction form
    202,650/303,975 = 54,906/x
  3. Step 3: Cross multiply
    202,650x = 303,975 × 54,906
  4. Step 4: Simplify right side
    202,650x = 16,690,051,350
  5. Step 5: Solve for x
    x = 16,690,051,350/202,650
  6. Step 6: Final answer
    x = 82,359

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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.