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Finding the Fourth Proportional to 271,896.26, 407,885.88 and 138,703.85

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Solution

The fourth proportional to 271,896.26, 407,885.88 and 138,703.85 is: 208,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,896.26 : 407,885.88 = 138,703.85 : x
  2. Step 2: Convert to fraction form
    271,896.26/407,885.88 = 138,703.85/x
  3. Step 3: Cross multiply
    271,896.26x = 407,885.88 × 138,703.85
  4. Step 4: Simplify right side
    271,896.26x = 56,575,339,877.21
  5. Step 5: Solve for x
    x = 56,575,339,877.21/271,896.26
  6. Step 6: Final answer
    x = 208,076.93

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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.