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Finding the Fourth Proportional to 120,718.60, 181,077.90 and 112,942.60

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Solution

The fourth proportional to 120,718.60, 181,077.90 and 112,942.60 is: 169,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,718.60 : 181,077.90 = 112,942.60 : x
  2. Step 2: Convert to fraction form
    120,718.60/181,077.90 = 112,942.60/x
  3. Step 3: Cross multiply
    120,718.60x = 181,077.90 × 112,942.60
  4. Step 4: Simplify right side
    120,718.60x = 20,451,408,828.54
  5. Step 5: Solve for x
    x = 20,451,408,828.54/120,718.60
  6. Step 6: Final answer
    x = 169,413.90

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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.