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Finding the Fourth Proportional to 81,836.40, 122,783.40 and 29,247.60

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Solution

The fourth proportional to 81,836.40, 122,783.40 and 29,247.60 is: 43,881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,836.40 : 122,783.40 = 29,247.60 : x
  2. Step 2: Convert to fraction form
    81,836.40/122,783.40 = 29,247.60/x
  3. Step 3: Cross multiply
    81,836.40x = 122,783.40 × 29,247.60
  4. Step 4: Simplify right side
    81,836.40x = 3,591,119,769.84
  5. Step 5: Solve for x
    x = 3,591,119,769.84/81,836.40
  6. Step 6: Final answer
    x = 43,881.69

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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.