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Finding the Fourth Proportional to 258,601.44, 387,902.16 and 71,608.80

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Solution

The fourth proportional to 258,601.44, 387,902.16 and 71,608.80 is: 107,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,601.44 : 387,902.16 = 71,608.80 : x
  2. Step 2: Convert to fraction form
    258,601.44/387,902.16 = 71,608.80/x
  3. Step 3: Cross multiply
    258,601.44x = 387,902.16 × 71,608.80
  4. Step 4: Simplify right side
    258,601.44x = 27,777,208,195.01
  5. Step 5: Solve for x
    x = 27,777,208,195.01/258,601.44
  6. Step 6: Final answer
    x = 107,413.20

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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.