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Finding the Fourth Proportional to 271,896.62, 407,886.38 and 138,704.21

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Solution

The fourth proportional to 271,896.62, 407,886.38 and 138,704.21 is: 208,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,896.62 : 407,886.38 = 138,704.21 : x
  2. Step 2: Convert to fraction form
    271,896.62/407,886.38 = 138,704.21/x
  3. Step 3: Cross multiply
    271,896.62x = 407,886.38 × 138,704.21
  4. Step 4: Simplify right side
    271,896.62x = 56,575,560,498.99
  5. Step 5: Solve for x
    x = 56,575,560,498.99/271,896.62
  6. Step 6: Final answer
    x = 208,077.47

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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.