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Finding the Fourth Proportional to 81,805.20, 122,880.60 and 78,867.60

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Solution

The fourth proportional to 81,805.20, 122,880.60 and 78,867.60 is: 118,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,805.20 : 122,880.60 = 78,867.60 : x
  2. Step 2: Convert to fraction form
    81,805.20/122,880.60 = 78,867.60/x
  3. Step 3: Cross multiply
    81,805.20x = 122,880.60 × 78,867.60
  4. Step 4: Simplify right side
    81,805.20x = 9,691,298,008.56
  5. Step 5: Solve for x
    x = 9,691,298,008.56/81,805.20
  6. Step 6: Final answer
    x = 118,467.99

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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.