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Finding the Fourth Proportional to 113,469.70, 169,999.23 and 81,707.80

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Solution

The fourth proportional to 113,469.70, 169,999.23 and 81,707.80 is: 122,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,469.70 : 169,999.23 = 81,707.80 : x
  2. Step 2: Convert to fraction form
    113,469.70/169,999.23 = 81,707.80/x
  3. Step 3: Cross multiply
    113,469.70x = 169,999.23 × 81,707.80
  4. Step 4: Simplify right side
    113,469.70x = 13,890,263,084.99
  5. Step 5: Solve for x
    x = 13,890,263,084.99/113,469.70
  6. Step 6: Final answer
    x = 122,413.85

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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.