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Finding the Fourth Proportional to 133,782.80, 200,504.10 and 54,807.80

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Solution

The fourth proportional to 133,782.80, 200,504.10 and 54,807.80 is: 82,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,782.80 : 200,504.10 = 54,807.80 : x
  2. Step 2: Convert to fraction form
    133,782.80/200,504.10 = 54,807.80/x
  3. Step 3: Cross multiply
    133,782.80x = 200,504.10 × 54,807.80
  4. Step 4: Simplify right side
    133,782.80x = 10,989,188,611.98
  5. Step 5: Solve for x
    x = 10,989,188,611.98/133,782.80
  6. Step 6: Final answer
    x = 82,142.01

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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.