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Finding the Fourth Proportional to 221,604.54, 305,813.79 and 121,002.54

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Solution

The fourth proportional to 221,604.54, 305,813.79 and 121,002.54 is: 166,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,604.54 : 305,813.79 = 121,002.54 : x
  2. Step 2: Convert to fraction form
    221,604.54/305,813.79 = 121,002.54/x
  3. Step 3: Cross multiply
    221,604.54x = 305,813.79 × 121,002.54
  4. Step 4: Simplify right side
    221,604.54x = 37,004,245,357.03
  5. Step 5: Solve for x
    x = 37,004,245,357.03/221,604.54
  6. Step 6: Final answer
    x = 166,983.25

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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.