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Finding the Fourth Proportional to 121,093.56, 181,638.24 and 54,486.54

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Solution

The fourth proportional to 121,093.56, 181,638.24 and 54,486.54 is: 81,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,093.56 : 181,638.24 = 54,486.54 : x
  2. Step 2: Convert to fraction form
    121,093.56/181,638.24 = 54,486.54/x
  3. Step 3: Cross multiply
    121,093.56x = 181,638.24 × 54,486.54
  4. Step 4: Simplify right side
    121,093.56x = 9,896,839,229.29
  5. Step 5: Solve for x
    x = 9,896,839,229.29/121,093.56
  6. Step 6: Final answer
    x = 81,728.87

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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.