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Finding the Fourth Proportional to 221,922, 306,253.44 and 121,320

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Solution

The fourth proportional to 221,922, 306,253.44 and 121,320 is: 167,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,922 : 306,253.44 = 121,320 : x
  2. Step 2: Convert to fraction form
    221,922/306,253.44 = 121,320/x
  3. Step 3: Cross multiply
    221,922x = 306,253.44 × 121,320
  4. Step 4: Simplify right side
    221,922x = 37,154,667,340.80
  5. Step 5: Solve for x
    x = 37,154,667,340.80/221,922
  6. Step 6: Final answer
    x = 167,422.19

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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.