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Finding the Fourth Proportional to 204,783.48, 306,976.73 and 78,326.34

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Solution

The fourth proportional to 204,783.48, 306,976.73 and 78,326.34 is: 117,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,783.48 : 306,976.73 = 78,326.34 : x
  2. Step 2: Convert to fraction form
    204,783.48/306,976.73 = 78,326.34/x
  3. Step 3: Cross multiply
    204,783.48x = 306,976.73 × 78,326.34
  4. Step 4: Simplify right side
    204,783.48x = 24,044,363,334.44
  5. Step 5: Solve for x
    x = 24,044,363,334.44/204,783.48
  6. Step 6: Final answer
    x = 117,413.59

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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.