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Finding the Fourth Proportional to 133,978.82, 200,815.35 and 53,965.57

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Solution

The fourth proportional to 133,978.82, 200,815.35 and 53,965.57 is: 80,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,978.82 : 200,815.35 = 53,965.57 : x
  2. Step 2: Convert to fraction form
    133,978.82/200,815.35 = 53,965.57/x
  3. Step 3: Cross multiply
    133,978.82x = 200,815.35 × 53,965.57
  4. Step 4: Simplify right side
    133,978.82x = 10,837,115,329.54
  5. Step 5: Solve for x
    x = 10,837,115,329.54/133,978.82
  6. Step 6: Final answer
    x = 80,886.78

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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.