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Finding the Fourth Proportional to 203,863.97, 305,674.83 and 77,513.46

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Solution

The fourth proportional to 203,863.97, 305,674.83 and 77,513.46 is: 116,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,863.97 : 305,674.83 = 77,513.46 : x
  2. Step 2: Convert to fraction form
    203,863.97/305,674.83 = 77,513.46/x
  3. Step 3: Cross multiply
    203,863.97x = 305,674.83 × 77,513.46
  4. Step 4: Simplify right side
    203,863.97x = 23,693,912,561.93
  5. Step 5: Solve for x
    x = 23,693,912,561.93/203,863.97
  6. Step 6: Final answer
    x = 116,224.13

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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.