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Finding the Fourth Proportional to 133,422.90, 200,133.18 and 54,481.71

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Solution

The fourth proportional to 133,422.90, 200,133.18 and 54,481.71 is: 81,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,422.90 : 200,133.18 = 54,481.71 : x
  2. Step 2: Convert to fraction form
    133,422.90/200,133.18 = 54,481.71/x
  3. Step 3: Cross multiply
    133,422.90x = 200,133.18 × 54,481.71
  4. Step 4: Simplify right side
    133,422.90x = 10,903,598,624.64
  5. Step 5: Solve for x
    x = 10,903,598,624.64/133,422.90
  6. Step 6: Final answer
    x = 81,722.10

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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.