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Finding the Fourth Proportional to 221,684.34, 305,924.85 and 121,082.34

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Solution

The fourth proportional to 221,684.34, 305,924.85 and 121,082.34 is: 167,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,684.34 : 305,924.85 = 121,082.34 : x
  2. Step 2: Convert to fraction form
    221,684.34/305,924.85 = 121,082.34/x
  3. Step 3: Cross multiply
    221,684.34x = 305,924.85 × 121,082.34
  4. Step 4: Simplify right side
    221,684.34x = 37,042,097,849.37
  5. Step 5: Solve for x
    x = 37,042,097,849.37/221,684.34
  6. Step 6: Final answer
    x = 167,093.88

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1.5x scale

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.