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Finding the Fourth Proportional to 133,784.11, 200,675.75 and 33,944.11

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Solution

The fourth proportional to 133,784.11, 200,675.75 and 33,944.11 is: 50,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,784.11 : 200,675.75 = 33,944.11 : x
  2. Step 2: Convert to fraction form
    133,784.11/200,675.75 = 33,944.11/x
  3. Step 3: Cross multiply
    133,784.11x = 200,675.75 × 33,944.11
  4. Step 4: Simplify right side
    133,784.11x = 6,811,758,559.23
  5. Step 5: Solve for x
    x = 6,811,758,559.23/133,784.11
  6. Step 6: Final answer
    x = 50,916.05

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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.