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Finding the Fourth Proportional to 53,850, 80,778.98 and 16,413.28

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Solution

The fourth proportional to 53,850, 80,778.98 and 16,413.28 is: 24,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,850 : 80,778.98 = 16,413.28 : x
  2. Step 2: Convert to fraction form
    53,850/80,778.98 = 16,413.28/x
  3. Step 3: Cross multiply
    53,850x = 80,778.98 × 16,413.28
  4. Step 4: Simplify right side
    53,850x = 1,325,848,016.85
  5. Step 5: Solve for x
    x = 1,325,848,016.85/53,850
  6. Step 6: Final answer
    x = 24,621.13

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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.