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Finding the Fourth Proportional to 202,954.46, 304,433.82 and 90,640.40

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Solution

The fourth proportional to 202,954.46, 304,433.82 and 90,640.40 is: 135,961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,954.46 : 304,433.82 = 90,640.40 : x
  2. Step 2: Convert to fraction form
    202,954.46/304,433.82 = 90,640.40/x
  3. Step 3: Cross multiply
    202,954.46x = 304,433.82 × 90,640.40
  4. Step 4: Simplify right side
    202,954.46x = 27,594,003,218.33
  5. Step 5: Solve for x
    x = 27,594,003,218.33/202,954.46
  6. Step 6: Final answer
    x = 135,961.55

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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.