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Finding the Fourth Proportional to 205,416.20, 308,124.30 and 116,942.60

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Solution

The fourth proportional to 205,416.20, 308,124.30 and 116,942.60 is: 175,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,416.20 : 308,124.30 = 116,942.60 : x
  2. Step 2: Convert to fraction form
    205,416.20/308,124.30 = 116,942.60/x
  3. Step 3: Cross multiply
    205,416.20x = 308,124.30 × 116,942.60
  4. Step 4: Simplify right side
    205,416.20x = 36,032,856,765.18
  5. Step 5: Solve for x
    x = 36,032,856,765.18/205,416.20
  6. Step 6: Final answer
    x = 175,413.90

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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.