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Finding the Fourth Proportional to 208,413.87, 312,620.32 and 50,642.47

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Solution

The fourth proportional to 208,413.87, 312,620.32 and 50,642.47 is: 75,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,413.87 : 312,620.32 = 50,642.47 : x
  2. Step 2: Convert to fraction form
    208,413.87/312,620.32 = 50,642.47/x
  3. Step 3: Cross multiply
    208,413.87x = 312,620.32 × 50,642.47
  4. Step 4: Simplify right side
    208,413.87x = 15,831,865,176.99
  5. Step 5: Solve for x
    x = 15,831,865,176.99/208,413.87
  6. Step 6: Final answer
    x = 75,963.59

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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.