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Finding the Fourth Proportional to 133,821.20, 200,731.80 and 54,894.80

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Solution

The fourth proportional to 133,821.20, 200,731.80 and 54,894.80 is: 82,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,821.20 : 200,731.80 = 54,894.80 : x
  2. Step 2: Convert to fraction form
    133,821.20/200,731.80 = 54,894.80/x
  3. Step 3: Cross multiply
    133,821.20x = 200,731.80 × 54,894.80
  4. Step 4: Simplify right side
    133,821.20x = 11,019,132,014.64
  5. Step 5: Solve for x
    x = 11,019,132,014.64/133,821.20
  6. Step 6: Final answer
    x = 82,342.20

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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.