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Finding the Fourth Proportional to 120,378.66, 180,413.46 and 45,409.52

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Solution

The fourth proportional to 120,378.66, 180,413.46 and 45,409.52 is: 68,055.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,378.66 : 180,413.46 = 45,409.52 : x
  2. Step 2: Convert to fraction form
    120,378.66/180,413.46 = 45,409.52/x
  3. Step 3: Cross multiply
    120,378.66x = 180,413.46 × 45,409.52
  4. Step 4: Simplify right side
    120,378.66x = 8,192,488,620.14
  5. Step 5: Solve for x
    x = 8,192,488,620.14/120,378.66
  6. Step 6: Final answer
    x = 68,055.99

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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.