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Finding the Fourth Proportional to 196,992, 271,850.88 and 107,569.92

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Solution

The fourth proportional to 196,992, 271,850.88 and 107,569.92 is: 148,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,992 : 271,850.88 = 107,569.92 : x
  2. Step 2: Convert to fraction form
    196,992/271,850.88 = 107,569.92/x
  3. Step 3: Cross multiply
    196,992x = 271,850.88 × 107,569.92
  4. Step 4: Simplify right side
    196,992x = 29,242,977,413.53
  5. Step 5: Solve for x
    x = 29,242,977,413.53/196,992
  6. Step 6: Final answer
    x = 148,447.54

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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.