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Finding the Fourth Proportional to 149,571.86, 206,413.06 and 81,589.98

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Solution

The fourth proportional to 149,571.86, 206,413.06 and 81,589.98 is: 112,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,571.86 : 206,413.06 = 81,589.98 : x
  2. Step 2: Convert to fraction form
    149,571.86/206,413.06 = 81,589.98/x
  3. Step 3: Cross multiply
    149,571.86x = 206,413.06 × 81,589.98
  4. Step 4: Simplify right side
    149,571.86x = 16,841,237,437.14
  5. Step 5: Solve for x
    x = 16,841,237,437.14/149,571.86
  6. Step 6: Final answer
    x = 112,596.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.