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Finding the Fourth Proportional to 133,458.78, 200,189.49 and 54,519.06

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Solution

The fourth proportional to 133,458.78, 200,189.49 and 54,519.06 is: 81,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,458.78 : 200,189.49 = 54,519.06 : x
  2. Step 2: Convert to fraction form
    133,458.78/200,189.49 = 54,519.06/x
  3. Step 3: Cross multiply
    133,458.78x = 200,189.49 × 54,519.06
  4. Step 4: Simplify right side
    133,458.78x = 10,914,142,816.68
  5. Step 5: Solve for x
    x = 10,914,142,816.68/133,458.78
  6. Step 6: Final answer
    x = 81,779.13

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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.