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Finding the Fourth Proportional to 100,976.40, 151,297.92 and 61,413.84

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Solution

The fourth proportional to 100,976.40, 151,297.92 and 61,413.84 is: 92,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,976.40 : 151,297.92 = 61,413.84 : x
  2. Step 2: Convert to fraction form
    100,976.40/151,297.92 = 61,413.84/x
  3. Step 3: Cross multiply
    100,976.40x = 151,297.92 × 61,413.84
  4. Step 4: Simplify right side
    100,976.40x = 9,291,786,251.21
  5. Step 5: Solve for x
    x = 9,291,786,251.21/100,976.40
  6. Step 6: Final answer
    x = 92,019.39

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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.