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Finding the Fourth Proportional to 202,256, 303,384 and 54,512

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Solution

The fourth proportional to 202,256, 303,384 and 54,512 is: 81,768

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,256 : 303,384 = 54,512 : x
  2. Step 2: Convert to fraction form
    202,256/303,384 = 54,512/x
  3. Step 3: Cross multiply
    202,256x = 303,384 × 54,512
  4. Step 4: Simplify right side
    202,256x = 16,538,068,608
  5. Step 5: Solve for x
    x = 16,538,068,608/202,256
  6. Step 6: Final answer
    x = 81,768

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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.