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Finding the Fourth Proportional to 188,296.87, 259,851.72 and 103,413.92

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Solution

The fourth proportional to 188,296.87, 259,851.72 and 103,413.92 is: 142,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,296.87 : 259,851.72 = 103,413.92 : x
  2. Step 2: Convert to fraction form
    188,296.87/259,851.72 = 103,413.92/x
  3. Step 3: Cross multiply
    188,296.87x = 259,851.72 × 103,413.92
  4. Step 4: Simplify right side
    188,296.87x = 26,872,284,983.94
  5. Step 5: Solve for x
    x = 26,872,284,983.94/188,296.87
  6. Step 6: Final answer
    x = 142,712.33

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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.