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Finding the Fourth Proportional to 133,717.60, 200,479.20 and 54,791.20

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Solution

The fourth proportional to 133,717.60, 200,479.20 and 54,791.20 is: 82,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,717.60 : 200,479.20 = 54,791.20 : x
  2. Step 2: Convert to fraction form
    133,717.60/200,479.20 = 54,791.20/x
  3. Step 3: Cross multiply
    133,717.60x = 200,479.20 × 54,791.20
  4. Step 4: Simplify right side
    133,717.60x = 10,984,495,943.04
  5. Step 5: Solve for x
    x = 10,984,495,943.04/133,717.60
  6. Step 6: Final answer
    x = 82,146.97

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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.