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Finding the Fourth Proportional to 221,940, 306,278.28 and 121,338

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Solution

The fourth proportional to 221,940, 306,278.28 and 121,338 is: 167,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,940 : 306,278.28 = 121,338 : x
  2. Step 2: Convert to fraction form
    221,940/306,278.28 = 121,338/x
  3. Step 3: Cross multiply
    221,940x = 306,278.28 × 121,338
  4. Step 4: Simplify right side
    221,940x = 37,163,193,938.64
  5. Step 5: Solve for x
    x = 37,163,193,938.64/221,940
  6. Step 6: Final answer
    x = 167,447.03

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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.