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Finding the Fourth Proportional to 255,906.34, 383,845.66 and 78,413.87

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Solution

The fourth proportional to 255,906.34, 383,845.66 and 78,413.87 is: 117,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,906.34 : 383,845.66 = 78,413.87 : x
  2. Step 2: Convert to fraction form
    255,906.34/383,845.66 = 78,413.87/x
  3. Step 3: Cross multiply
    255,906.34x = 383,845.66 × 78,413.87
  4. Step 4: Simplify right side
    255,906.34x = 30,098,824,446.88
  5. Step 5: Solve for x
    x = 30,098,824,446.88/255,906.34
  6. Step 6: Final answer
    x = 117,616.57

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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.