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Finding the Fourth Proportional to 221,697.43, 305,942.49 and 121,095.43

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Solution

The fourth proportional to 221,697.43, 305,942.49 and 121,095.43 is: 167,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,697.43 : 305,942.49 = 121,095.43 : x
  2. Step 2: Convert to fraction form
    221,697.43/305,942.49 = 121,095.43/x
  3. Step 3: Cross multiply
    221,697.43x = 305,942.49 × 121,095.43
  4. Step 4: Simplify right side
    221,697.43x = 37,048,237,381.82
  5. Step 5: Solve for x
    x = 37,048,237,381.82/221,697.43
  6. Step 6: Final answer
    x = 167,111.71

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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.