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Finding the Fourth Proportional to 70,413.22, 96,965.49 and 65,910.75

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Solution

The fourth proportional to 70,413.22, 96,965.49 and 65,910.75 is: 90,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,413.22 : 96,965.49 = 65,910.75 : x
  2. Step 2: Convert to fraction form
    70,413.22/96,965.49 = 65,910.75/x
  3. Step 3: Cross multiply
    70,413.22x = 96,965.49 × 65,910.75
  4. Step 4: Simplify right side
    70,413.22x = 6,391,068,170.02
  5. Step 5: Solve for x
    x = 6,391,068,170.02/70,413.22
  6. Step 6: Final answer
    x = 90,765.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.