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Finding the Fourth Proportional to 221,604.79, 305,814.13 and 121,002.79

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Solution

The fourth proportional to 221,604.79, 305,814.13 and 121,002.79 is: 166,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,604.79 : 305,814.13 = 121,002.79 : x
  2. Step 2: Convert to fraction form
    221,604.79/305,814.13 = 121,002.79/x
  3. Step 3: Cross multiply
    221,604.79x = 305,814.13 × 121,002.79
  4. Step 4: Simplify right side
    221,604.79x = 37,004,362,951.42
  5. Step 5: Solve for x
    x = 37,004,362,951.42/221,604.79
  6. Step 6: Final answer
    x = 166,983.59

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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.