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Finding the Fourth Proportional to 45,355.87, 68,069.22 and 31,413.61

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Solution

The fourth proportional to 45,355.87, 68,069.22 and 31,413.61 is: 47,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,355.87 : 68,069.22 = 31,413.61 : x
  2. Step 2: Convert to fraction form
    45,355.87/68,069.22 = 31,413.61/x
  3. Step 3: Cross multiply
    45,355.87x = 68,069.22 × 31,413.61
  4. Step 4: Simplify right side
    45,355.87x = 2,138,299,930.08
  5. Step 5: Solve for x
    x = 2,138,299,930.08/45,355.87
  6. Step 6: Final answer
    x = 47,144.94

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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.