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Finding the Fourth Proportional to 202,398.38, 303,782.78 and 102,627.44

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Solution

The fourth proportional to 202,398.38, 303,782.78 and 102,627.44 is: 154,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,398.38 : 303,782.78 = 102,627.44 : x
  2. Step 2: Convert to fraction form
    202,398.38/303,782.78 = 102,627.44/x
  3. Step 3: Cross multiply
    202,398.38x = 303,782.78 × 102,627.44
  4. Step 4: Simplify right side
    202,398.38x = 31,176,446,995.43
  5. Step 5: Solve for x
    x = 31,176,446,995.43/202,398.38
  6. Step 6: Final answer
    x = 154,035.07

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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.