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Finding the Fourth Proportional to 271,901.43, 407,893.60 and 138,709.03

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Solution

The fourth proportional to 271,901.43, 407,893.60 and 138,709.03 is: 208,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,901.43 : 407,893.60 = 138,709.03 : x
  2. Step 2: Convert to fraction form
    271,901.43/407,893.60 = 138,709.03/x
  3. Step 3: Cross multiply
    271,901.43x = 407,893.60 × 138,709.03
  4. Step 4: Simplify right side
    271,901.43x = 56,578,525,599.21
  5. Step 5: Solve for x
    x = 56,578,525,599.21/271,901.43
  6. Step 6: Final answer
    x = 208,084.69

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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.