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Finding the Fourth Proportional to 120,413.83, 180,628.44 and 40,448.56

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Solution

The fourth proportional to 120,413.83, 180,628.44 and 40,448.56 is: 60,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,413.83 : 180,628.44 = 40,448.56 : x
  2. Step 2: Convert to fraction form
    120,413.83/180,628.44 = 40,448.56/x
  3. Step 3: Cross multiply
    120,413.83x = 180,628.44 × 40,448.56
  4. Step 4: Simplify right side
    120,413.83x = 7,306,160,293.05
  5. Step 5: Solve for x
    x = 7,306,160,293.05/120,413.83
  6. Step 6: Final answer
    x = 60,675.42

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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.