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Finding the Fourth Proportional to 188,413.70, 259,907.09 and 119,376.86

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Solution

The fourth proportional to 188,413.70, 259,907.09 and 119,376.86 is: 164,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,413.70 : 259,907.09 = 119,376.86 : x
  2. Step 2: Convert to fraction form
    188,413.70/259,907.09 = 119,376.86/x
  3. Step 3: Cross multiply
    188,413.70x = 259,907.09 × 119,376.86
  4. Step 4: Simplify right side
    188,413.70x = 31,026,892,295.94
  5. Step 5: Solve for x
    x = 31,026,892,295.94/188,413.70
  6. Step 6: Final answer
    x = 164,674.29

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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.