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Finding the Fourth Proportional to 268,093.46, 402,139.92 and 68,413.84

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Solution

The fourth proportional to 268,093.46, 402,139.92 and 68,413.84 is: 102,620.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,093.46 : 402,139.92 = 68,413.84 : x
  2. Step 2: Convert to fraction form
    268,093.46/402,139.92 = 68,413.84/x
  3. Step 3: Cross multiply
    268,093.46x = 402,139.92 × 68,413.84
  4. Step 4: Simplify right side
    268,093.46x = 27,511,934,133.79
  5. Step 5: Solve for x
    x = 27,511,934,133.79/268,093.46
  6. Step 6: Final answer
    x = 102,620.69

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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.