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Finding the Fourth Proportional to 143,405.54, 215,198.22 and 54,666.80

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Solution

The fourth proportional to 143,405.54, 215,198.22 and 54,666.80 is: 82,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,405.54 : 215,198.22 = 54,666.80 : x
  2. Step 2: Convert to fraction form
    143,405.54/215,198.22 = 54,666.80/x
  3. Step 3: Cross multiply
    143,405.54x = 215,198.22 × 54,666.80
  4. Step 4: Simplify right side
    143,405.54x = 11,764,198,053.10
  5. Step 5: Solve for x
    x = 11,764,198,053.10/143,405.54
  6. Step 6: Final answer
    x = 82,034.47

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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.