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Finding the Fourth Proportional to 261,906.50, 361,413.96 and 154,451.90

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Solution

The fourth proportional to 261,906.50, 361,413.96 and 154,451.90 is: 213,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,906.50 : 361,413.96 = 154,451.90 : x
  2. Step 2: Convert to fraction form
    261,906.50/361,413.96 = 154,451.90/x
  3. Step 3: Cross multiply
    261,906.50x = 361,413.96 × 154,451.90
  4. Step 4: Simplify right side
    261,906.50x = 55,821,072,808.52
  5. Step 5: Solve for x
    x = 55,821,072,808.52/261,906.50
  6. Step 6: Final answer
    x = 213,133.59

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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.