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Finding the Fourth Proportional to 144,002, 198,728.52 and 80,345.36

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Solution

The fourth proportional to 144,002, 198,728.52 and 80,345.36 is: 110,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,002 : 198,728.52 = 80,345.36 : x
  2. Step 2: Convert to fraction form
    144,002/198,728.52 = 80,345.36/x
  3. Step 3: Cross multiply
    144,002x = 198,728.52 × 80,345.36
  4. Step 4: Simplify right side
    144,002x = 15,966,914,481.67
  5. Step 5: Solve for x
    x = 15,966,914,481.67/144,002
  6. Step 6: Final answer
    x = 110,879.81

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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.