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Finding the Fourth Proportional to 133,047.20, 199,570.80 and 54,120.80

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Solution

The fourth proportional to 133,047.20, 199,570.80 and 54,120.80 is: 81,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,047.20 : 199,570.80 = 54,120.80 : x
  2. Step 2: Convert to fraction form
    133,047.20/199,570.80 = 54,120.80/x
  3. Step 3: Cross multiply
    133,047.20x = 199,570.80 × 54,120.80
  4. Step 4: Simplify right side
    133,047.20x = 10,800,931,352.64
  5. Step 5: Solve for x
    x = 10,800,931,352.64/133,047.20
  6. Step 6: Final answer
    x = 81,181.20

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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.