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Finding the Fourth Proportional to 144,083.82, 198,811.89 and 80,421.60

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Solution

The fourth proportional to 144,083.82, 198,811.89 and 80,421.60 is: 110,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,083.82 : 198,811.89 = 80,421.60 : x
  2. Step 2: Convert to fraction form
    144,083.82/198,811.89 = 80,421.60/x
  3. Step 3: Cross multiply
    144,083.82x = 198,811.89 × 80,421.60
  4. Step 4: Simplify right side
    144,083.82x = 15,988,770,292.82
  5. Step 5: Solve for x
    x = 15,988,770,292.82/144,083.82
  6. Step 6: Final answer
    x = 110,968.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.