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Finding the Fourth Proportional to 68,413.84, 102,620.76 and 49,812.25

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Solution

The fourth proportional to 68,413.84, 102,620.76 and 49,812.25 is: 74,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,413.84 : 102,620.76 = 49,812.25 : x
  2. Step 2: Convert to fraction form
    68,413.84/102,620.76 = 49,812.25/x
  3. Step 3: Cross multiply
    68,413.84x = 102,620.76 × 49,812.25
  4. Step 4: Simplify right side
    68,413.84x = 5,111,770,952.31
  5. Step 5: Solve for x
    x = 5,111,770,952.31/68,413.84
  6. Step 6: Final answer
    x = 74,718.38

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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.