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Finding the Fourth Proportional to 81,766.32, 122,647.04 and 22,605.54

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Solution

The fourth proportional to 81,766.32, 122,647.04 and 22,605.54 is: 33,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,766.32 : 122,647.04 = 22,605.54 : x
  2. Step 2: Convert to fraction form
    81,766.32/122,647.04 = 22,605.54/x
  3. Step 3: Cross multiply
    81,766.32x = 122,647.04 × 22,605.54
  4. Step 4: Simplify right side
    81,766.32x = 2,772,502,568.60
  5. Step 5: Solve for x
    x = 2,772,502,568.60/81,766.32
  6. Step 6: Final answer
    x = 33,907.64

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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.