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Finding the Fourth Proportional to 137,413.97, 206,087.79 and 57,408.71

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Solution

The fourth proportional to 137,413.97, 206,087.79 and 57,408.71 is: 86,099.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,413.97 : 206,087.79 = 57,408.71 : x
  2. Step 2: Convert to fraction form
    137,413.97/206,087.79 = 57,408.71/x
  3. Step 3: Cross multiply
    137,413.97x = 206,087.79 × 57,408.71
  4. Step 4: Simplify right side
    137,413.97x = 11,831,234,170.65
  5. Step 5: Solve for x
    x = 11,831,234,170.65/137,413.97
  6. Step 6: Final answer
    x = 86,099.21

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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.