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Finding the Fourth Proportional to 272,114.34, 408,172.32 and 82,576.23

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Solution

The fourth proportional to 272,114.34, 408,172.32 and 82,576.23 is: 123,864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,114.34 : 408,172.32 = 82,576.23 : x
  2. Step 2: Convert to fraction form
    272,114.34/408,172.32 = 82,576.23/x
  3. Step 3: Cross multiply
    272,114.34x = 408,172.32 × 82,576.23
  4. Step 4: Simplify right side
    272,114.34x = 33,705,331,375.95
  5. Step 5: Solve for x
    x = 33,705,331,375.95/272,114.34
  6. Step 6: Final answer
    x = 123,864.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.