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Finding the Fourth Proportional to 221,797.20, 306,080.13 and 121,195.20

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Solution

The fourth proportional to 221,797.20, 306,080.13 and 121,195.20 is: 167,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,797.20 : 306,080.13 = 121,195.20 : x
  2. Step 2: Convert to fraction form
    221,797.20/306,080.13 = 121,195.20/x
  3. Step 3: Cross multiply
    221,797.20x = 306,080.13 × 121,195.20
  4. Step 4: Simplify right side
    221,797.20x = 37,095,442,571.38
  5. Step 5: Solve for x
    x = 37,095,442,571.38/221,797.20
  6. Step 6: Final answer
    x = 167,249.37

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1.5x scale

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.