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Finding the Fourth Proportional to 198,257, 273,413.16 and 130,247

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Solution

The fourth proportional to 198,257, 273,413.16 and 130,247 is: 179,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,257 : 273,413.16 = 130,247 : x
  2. Step 2: Convert to fraction form
    198,257/273,413.16 = 130,247/x
  3. Step 3: Cross multiply
    198,257x = 273,413.16 × 130,247
  4. Step 4: Simplify right side
    198,257x = 35,611,243,850.52
  5. Step 5: Solve for x
    x = 35,611,243,850.52/198,257
  6. Step 6: Final answer
    x = 179,621.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.