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Finding the Fourth Proportional to 201,960, 303,025.92 and 83,717.28

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Solution

The fourth proportional to 201,960, 303,025.92 and 83,717.28 is: 125,611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,960 : 303,025.92 = 83,717.28 : x
  2. Step 2: Convert to fraction form
    201,960/303,025.92 = 83,717.28/x
  3. Step 3: Cross multiply
    201,960x = 303,025.92 × 83,717.28
  4. Step 4: Simplify right side
    201,960x = 25,368,505,791.90
  5. Step 5: Solve for x
    x = 25,368,505,791.90/201,960
  6. Step 6: Final answer
    x = 125,611.54

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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.