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Finding the Fourth Proportional to 133,899.68, 200,709.38 and 45,122.51

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Solution

The fourth proportional to 133,899.68, 200,709.38 and 45,122.51 is: 67,636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,899.68 : 200,709.38 = 45,122.51 : x
  2. Step 2: Convert to fraction form
    133,899.68/200,709.38 = 45,122.51/x
  3. Step 3: Cross multiply
    133,899.68x = 200,709.38 × 45,122.51
  4. Step 4: Simplify right side
    133,899.68x = 9,056,511,620.72
  5. Step 5: Solve for x
    x = 9,056,511,620.72/133,899.68
  6. Step 6: Final answer
    x = 67,636.54

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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.