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Finding the Fourth Proportional to 208,272.69, 312,198.65 and 82,001.54

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Solution

The fourth proportional to 208,272.69, 312,198.65 and 82,001.54 is: 122,919.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,272.69 : 312,198.65 = 82,001.54 : x
  2. Step 2: Convert to fraction form
    208,272.69/312,198.65 = 82,001.54/x
  3. Step 3: Cross multiply
    208,272.69x = 312,198.65 × 82,001.54
  4. Step 4: Simplify right side
    208,272.69x = 25,600,768,114.92
  5. Step 5: Solve for x
    x = 25,600,768,114.92/208,272.69
  6. Step 6: Final answer
    x = 122,919.47

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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.