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Finding the Fourth Proportional to 199,722.62, 275,619.30 and 109,081.20

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Solution

The fourth proportional to 199,722.62, 275,619.30 and 109,081.20 is: 150,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,722.62 : 275,619.30 = 109,081.20 : x
  2. Step 2: Convert to fraction form
    199,722.62/275,619.30 = 109,081.20/x
  3. Step 3: Cross multiply
    199,722.62x = 275,619.30 × 109,081.20
  4. Step 4: Simplify right side
    199,722.62x = 30,064,883,987.16
  5. Step 5: Solve for x
    x = 30,064,883,987.16/199,722.62
  6. Step 6: Final answer
    x = 150,533.19

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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.