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Finding the Fourth Proportional to 81,844, 122,765.65 and 22,679.50

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Solution

The fourth proportional to 81,844, 122,765.65 and 22,679.50 is: 34,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,844 : 122,765.65 = 22,679.50 : x
  2. Step 2: Convert to fraction form
    81,844/122,765.65 = 22,679.50/x
  3. Step 3: Cross multiply
    81,844x = 122,765.65 × 22,679.50
  4. Step 4: Simplify right side
    81,844x = 2,784,263,559.18
  5. Step 5: Solve for x
    x = 2,784,263,559.18/81,844
  6. Step 6: Final answer
    x = 34,019.15

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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.