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Finding the Fourth Proportional to 78,413.76, 117,396 and 73,447.68

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Solution

The fourth proportional to 78,413.76, 117,396 and 73,447.68 is: 109,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,413.76 : 117,396 = 73,447.68 : x
  2. Step 2: Convert to fraction form
    78,413.76/117,396 = 73,447.68/x
  3. Step 3: Cross multiply
    78,413.76x = 117,396 × 73,447.68
  4. Step 4: Simplify right side
    78,413.76x = 8,622,463,841.28
  5. Step 5: Solve for x
    x = 8,622,463,841.28/78,413.76
  6. Step 6: Final answer
    x = 109,961.11

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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.