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Finding the Fourth Proportional to 133,404.84, 200,107.64 and 54,519.08

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Solution

The fourth proportional to 133,404.84, 200,107.64 and 54,519.08 is: 81,778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,404.84 : 200,107.64 = 54,519.08 : x
  2. Step 2: Convert to fraction form
    133,404.84/200,107.64 = 54,519.08/x
  3. Step 3: Cross multiply
    133,404.84x = 200,107.64 × 54,519.08
  4. Step 4: Simplify right side
    133,404.84x = 10,909,684,433.77
  5. Step 5: Solve for x
    x = 10,909,684,433.77/133,404.84
  6. Step 6: Final answer
    x = 81,778.78

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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.