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Finding the Fourth Proportional to 202,436, 303,839.16 and 102,665.04

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Solution

The fourth proportional to 202,436, 303,839.16 and 102,665.04 is: 154,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,436 : 303,839.16 = 102,665.04 : x
  2. Step 2: Convert to fraction form
    202,436/303,839.16 = 102,665.04/x
  3. Step 3: Cross multiply
    202,436x = 303,839.16 × 102,665.04
  4. Step 4: Simplify right side
    202,436x = 31,193,659,514.97
  5. Step 5: Solve for x
    x = 31,193,659,514.97/202,436
  6. Step 6: Final answer
    x = 154,091.46

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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.