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Finding the Fourth Proportional to 81,741, 121,896.19 and 80,993.64

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Solution

The fourth proportional to 81,741, 121,896.19 and 80,993.64 is: 120,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,741 : 121,896.19 = 80,993.64 : x
  2. Step 2: Convert to fraction form
    81,741/121,896.19 = 80,993.64/x
  3. Step 3: Cross multiply
    81,741x = 121,896.19 × 80,993.64
  4. Step 4: Simplify right side
    81,741x = 9,872,816,130.23
  5. Step 5: Solve for x
    x = 9,872,816,130.23/81,741
  6. Step 6: Final answer
    x = 120,781.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.