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Finding the Fourth Proportional to 144,289, 199,118.20 and 80,626.80

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Solution

The fourth proportional to 144,289, 199,118.20 and 80,626.80 is: 111,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,289 : 199,118.20 = 80,626.80 : x
  2. Step 2: Convert to fraction form
    144,289/199,118.20 = 80,626.80/x
  3. Step 3: Cross multiply
    144,289x = 199,118.20 × 80,626.80
  4. Step 4: Simplify right side
    144,289x = 16,054,263,287.76
  5. Step 5: Solve for x
    x = 16,054,263,287.76/144,289
  6. Step 6: Final answer
    x = 111,264.64

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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.