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Finding the Fourth Proportional to 144,072, 198,825.84 and 80,410.32

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Solution

The fourth proportional to 144,072, 198,825.84 and 80,410.32 is: 110,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,072 : 198,825.84 = 80,410.32 : x
  2. Step 2: Convert to fraction form
    144,072/198,825.84 = 80,410.32/x
  3. Step 3: Cross multiply
    144,072x = 198,825.84 × 80,410.32
  4. Step 4: Simplify right side
    144,072x = 15,987,649,418.67
  5. Step 5: Solve for x
    x = 15,987,649,418.67/144,072
  6. Step 6: Final answer
    x = 110,969.86

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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.