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Finding the Fourth Proportional to 120,661.84, 180,997.62 and 57,449.44

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Solution

The fourth proportional to 120,661.84, 180,997.62 and 57,449.44 is: 86,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,661.84 : 180,997.62 = 57,449.44 : x
  2. Step 2: Convert to fraction form
    120,661.84/180,997.62 = 57,449.44/x
  3. Step 3: Cross multiply
    120,661.84x = 180,997.62 × 57,449.44
  4. Step 4: Simplify right side
    120,661.84x = 10,398,211,910.33
  5. Step 5: Solve for x
    x = 10,398,211,910.33/120,661.84
  6. Step 6: Final answer
    x = 86,176.47

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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.