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Finding the Fourth Proportional to 81,804.40, 122,735.40 and 40,223.60

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Solution

The fourth proportional to 81,804.40, 122,735.40 and 40,223.60 is: 60,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,804.40 : 122,735.40 = 40,223.60 : x
  2. Step 2: Convert to fraction form
    81,804.40/122,735.40 = 40,223.60/x
  3. Step 3: Cross multiply
    81,804.40x = 122,735.40 × 40,223.60
  4. Step 4: Simplify right side
    81,804.40x = 4,936,859,635.44
  5. Step 5: Solve for x
    x = 4,936,859,635.44/81,804.40
  6. Step 6: Final answer
    x = 60,349.56

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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.