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Finding the Fourth Proportional to 81,830.80, 122,724.60 and 25,670.80

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Solution

The fourth proportional to 81,830.80, 122,724.60 and 25,670.80 is: 38,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,830.80 : 122,724.60 = 25,670.80 : x
  2. Step 2: Convert to fraction form
    81,830.80/122,724.60 = 25,670.80/x
  3. Step 3: Cross multiply
    81,830.80x = 122,724.60 × 25,670.80
  4. Step 4: Simplify right side
    81,830.80x = 3,150,438,661.68
  5. Step 5: Solve for x
    x = 3,150,438,661.68/81,830.80
  6. Step 6: Final answer
    x = 38,499.42

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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.