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Finding the Fourth Proportional to 271,521.84, 407,119 and 121,734.96

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Solution

The fourth proportional to 271,521.84, 407,119 and 121,734.96 is: 182,529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,521.84 : 407,119 = 121,734.96 : x
  2. Step 2: Convert to fraction form
    271,521.84/407,119 = 121,734.96/x
  3. Step 3: Cross multiply
    271,521.84x = 407,119 × 121,734.96
  4. Step 4: Simplify right side
    271,521.84x = 49,560,615,180.24
  5. Step 5: Solve for x
    x = 49,560,615,180.24/271,521.84
  6. Step 6: Final answer
    x = 182,529.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.