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Finding the Fourth Proportional to 255,920, 383,881.08 and 78,413.36

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Solution

The fourth proportional to 255,920, 383,881.08 and 78,413.36 is: 117,620.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,920 : 383,881.08 = 78,413.36 : x
  2. Step 2: Convert to fraction form
    255,920/383,881.08 = 78,413.36/x
  3. Step 3: Cross multiply
    255,920x = 383,881.08 × 78,413.36
  4. Step 4: Simplify right side
    255,920x = 30,101,405,323.23
  5. Step 5: Solve for x
    x = 30,101,405,323.23/255,920
  6. Step 6: Final answer
    x = 117,620.37

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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.