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Finding the Fourth Proportional to 271,813, 407,687.83 and 72,148.91

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Solution

The fourth proportional to 271,813, 407,687.83 and 72,148.91 is: 108,214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,813 : 407,687.83 = 72,148.91 : x
  2. Step 2: Convert to fraction form
    271,813/407,687.83 = 72,148.91/x
  3. Step 3: Cross multiply
    271,813x = 407,687.83 × 72,148.91
  4. Step 4: Simplify right side
    271,813x = 29,414,232,554.77
  5. Step 5: Solve for x
    x = 29,414,232,554.77/271,813
  6. Step 6: Final answer
    x = 108,214.96

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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.