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Finding the Fourth Proportional to 255,905.78, 383,844.83 and 78,413.31

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Solution

The fourth proportional to 255,905.78, 383,844.83 and 78,413.31 is: 117,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,905.78 : 383,844.83 = 78,413.31 : x
  2. Step 2: Convert to fraction form
    255,905.78/383,844.83 = 78,413.31/x
  3. Step 3: Cross multiply
    255,905.78x = 383,844.83 × 78,413.31
  4. Step 4: Simplify right side
    255,905.78x = 30,098,543,254.62
  5. Step 5: Solve for x
    x = 30,098,543,254.62/255,905.78
  6. Step 6: Final answer
    x = 117,615.72

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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.