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Finding the Fourth Proportional to 81,673.65, 122,346.45 and 55,101.60

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Solution

The fourth proportional to 81,673.65, 122,346.45 and 55,101.60 is: 82,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,673.65 : 122,346.45 = 55,101.60 : x
  2. Step 2: Convert to fraction form
    81,673.65/122,346.45 = 55,101.60/x
  3. Step 3: Cross multiply
    81,673.65x = 122,346.45 × 55,101.60
  4. Step 4: Simplify right side
    81,673.65x = 6,741,485,149.32
  5. Step 5: Solve for x
    x = 6,741,485,149.32/81,673.65
  6. Step 6: Final answer
    x = 82,541.74

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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.