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Finding the Fourth Proportional to 133,696.31, 200,409.51 and 83,811.44

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Solution

The fourth proportional to 133,696.31, 200,409.51 and 83,811.44 is: 125,632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,696.31 : 200,409.51 = 83,811.44 : x
  2. Step 2: Convert to fraction form
    133,696.31/200,409.51 = 83,811.44/x
  3. Step 3: Cross multiply
    133,696.31x = 200,409.51 × 83,811.44
  4. Step 4: Simplify right side
    133,696.31x = 16,796,608,620.75
  5. Step 5: Solve for x
    x = 16,796,608,620.75/133,696.31
  6. Step 6: Final answer
    x = 125,632.56

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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.