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Finding the Fourth Proportional to 221,996.16, 306,348.48 and 121,392

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Solution

The fourth proportional to 221,996.16, 306,348.48 and 121,392 is: 167,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,996.16 : 306,348.48 = 121,392 : x
  2. Step 2: Convert to fraction form
    221,996.16/306,348.48 = 121,392/x
  3. Step 3: Cross multiply
    221,996.16x = 306,348.48 × 121,392
  4. Step 4: Simplify right side
    221,996.16x = 37,188,254,684.16
  5. Step 5: Solve for x
    x = 37,188,254,684.16/221,996.16
  6. Step 6: Final answer
    x = 167,517.56

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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.