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Finding the Fourth Proportional to 208,709.28, 312,858 and 133,615.68

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Solution

The fourth proportional to 208,709.28, 312,858 and 133,615.68 is: 200,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,709.28 : 312,858 = 133,615.68 : x
  2. Step 2: Convert to fraction form
    208,709.28/312,858 = 133,615.68/x
  3. Step 3: Cross multiply
    208,709.28x = 312,858 × 133,615.68
  4. Step 4: Simplify right side
    208,709.28x = 41,802,734,413.44
  5. Step 5: Solve for x
    x = 41,802,734,413.44/208,709.28
  6. Step 6: Final answer
    x = 200,291.69

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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.