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Finding the Fourth Proportional to 81,824.60, 122,564.10 and 68,000.60

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Solution

The fourth proportional to 81,824.60, 122,564.10 and 68,000.60 is: 101,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,824.60 : 122,564.10 = 68,000.60 : x
  2. Step 2: Convert to fraction form
    81,824.60/122,564.10 = 68,000.60/x
  3. Step 3: Cross multiply
    81,824.60x = 122,564.10 × 68,000.60
  4. Step 4: Simplify right side
    81,824.60x = 8,334,432,338.46
  5. Step 5: Solve for x
    x = 8,334,432,338.46/81,824.60
  6. Step 6: Final answer
    x = 101,857.29

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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.