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Finding the Fourth Proportional to 133,696.65, 200,410.02 and 83,811.78

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Solution

The fourth proportional to 133,696.65, 200,410.02 and 83,811.78 is: 125,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,696.65 : 200,410.02 = 83,811.78 : x
  2. Step 2: Convert to fraction form
    133,696.65/200,410.02 = 83,811.78/x
  3. Step 3: Cross multiply
    133,696.65x = 200,410.02 × 83,811.78
  4. Step 4: Simplify right side
    133,696.65x = 16,796,720,086.98
  5. Step 5: Solve for x
    x = 16,796,720,086.98/133,696.65
  6. Step 6: Final answer
    x = 125,633.07

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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.