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Finding the Fourth Proportional to 154,413.31, 231,659.89 and 90,425.48

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Solution

The fourth proportional to 154,413.31, 231,659.89 and 90,425.48 is: 135,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,413.31 : 231,659.89 = 90,425.48 : x
  2. Step 2: Convert to fraction form
    154,413.31/231,659.89 = 90,425.48/x
  3. Step 3: Cross multiply
    154,413.31x = 231,659.89 × 90,425.48
  4. Step 4: Simplify right side
    154,413.31x = 20,947,957,602.44
  5. Step 5: Solve for x
    x = 20,947,957,602.44/154,413.31
  6. Step 6: Final answer
    x = 135,661.61

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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.