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Finding the Fourth Proportional to 133,649.78, 200,474.60 and 53,687.74

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Solution

The fourth proportional to 133,649.78, 200,474.60 and 53,687.74 is: 80,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,649.78 : 200,474.60 = 53,687.74 : x
  2. Step 2: Convert to fraction form
    133,649.78/200,474.60 = 53,687.74/x
  3. Step 3: Cross multiply
    133,649.78x = 200,474.60 × 53,687.74
  4. Step 4: Simplify right side
    133,649.78x = 10,763,028,201.40
  5. Step 5: Solve for x
    x = 10,763,028,201.40/133,649.78
  6. Step 6: Final answer
    x = 80,531.58

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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.