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Finding the Fourth Proportional to 208,828.20, 313,023.60 and 82,419.60

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Solution

The fourth proportional to 208,828.20, 313,023.60 and 82,419.60 is: 123,543.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,828.20 : 313,023.60 = 82,419.60 : x
  2. Step 2: Convert to fraction form
    208,828.20/313,023.60 = 82,419.60/x
  3. Step 3: Cross multiply
    208,828.20x = 313,023.60 × 82,419.60
  4. Step 4: Simplify right side
    208,828.20x = 25,799,279,902.56
  5. Step 5: Solve for x
    x = 25,799,279,902.56/208,828.20
  6. Step 6: Final answer
    x = 123,543.08

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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.