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Finding the Fourth Proportional to 78,573.85, 117,861.89 and 22,413.97

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Solution

The fourth proportional to 78,573.85, 117,861.89 and 22,413.97 is: 33,621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,573.85 : 117,861.89 = 22,413.97 : x
  2. Step 2: Convert to fraction form
    78,573.85/117,861.89 = 22,413.97/x
  3. Step 3: Cross multiply
    78,573.85x = 117,861.89 × 22,413.97
  4. Step 4: Simplify right side
    78,573.85x = 2,641,752,866.60
  5. Step 5: Solve for x
    x = 2,641,752,866.60/78,573.85
  6. Step 6: Final answer
    x = 33,621.27

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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.