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Finding the Fourth Proportional to 78,270.24, 117,413.56 and 33,901.48

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Solution

The fourth proportional to 78,270.24, 117,413.56 and 33,901.48 is: 50,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,270.24 : 117,413.56 = 33,901.48 : x
  2. Step 2: Convert to fraction form
    78,270.24/117,413.56 = 33,901.48/x
  3. Step 3: Cross multiply
    78,270.24x = 117,413.56 × 33,901.48
  4. Step 4: Simplify right side
    78,270.24x = 3,980,493,456.07
  5. Step 5: Solve for x
    x = 3,980,493,456.07/78,270.24
  6. Step 6: Final answer
    x = 50,855.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.