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Finding the Fourth Proportional to 133,103.79, 199,745.33 and 54,232.20

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Solution

The fourth proportional to 133,103.79, 199,745.33 and 54,232.20 is: 81,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,103.79 : 199,745.33 = 54,232.20 : x
  2. Step 2: Convert to fraction form
    133,103.79/199,745.33 = 54,232.20/x
  3. Step 3: Cross multiply
    133,103.79x = 199,745.33 × 54,232.20
  4. Step 4: Simplify right side
    133,103.79x = 10,832,628,414.47
  5. Step 5: Solve for x
    x = 10,832,628,414.47/133,103.79
  6. Step 6: Final answer
    x = 81,384.82

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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.