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Finding the Fourth Proportional to 133,734, 200,489.16 and 54,904.80

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Solution

The fourth proportional to 133,734, 200,489.16 and 54,904.80 is: 82,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,734 : 200,489.16 = 54,904.80 : x
  2. Step 2: Convert to fraction form
    133,734/200,489.16 = 54,904.80/x
  3. Step 3: Cross multiply
    133,734x = 200,489.16 × 54,904.80
  4. Step 4: Simplify right side
    133,734x = 11,007,817,231.97
  5. Step 5: Solve for x
    x = 11,007,817,231.97/133,734
  6. Step 6: Final answer
    x = 82,311.28

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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.