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Finding the Fourth Proportional to 144,048.46, 198,763.09 and 80,386.10

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Solution

The fourth proportional to 144,048.46, 198,763.09 and 80,386.10 is: 110,919.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,048.46 : 198,763.09 = 80,386.10 : x
  2. Step 2: Convert to fraction form
    144,048.46/198,763.09 = 80,386.10/x
  3. Step 3: Cross multiply
    144,048.46x = 198,763.09 × 80,386.10
  4. Step 4: Simplify right side
    144,048.46x = 15,977,789,629.05
  5. Step 5: Solve for x
    x = 15,977,789,629.05/144,048.46
  6. Step 6: Final answer
    x = 110,919.54

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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.