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Finding the Fourth Proportional to 271,732.95, 407,651.21 and 109,639.86

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Solution

The fourth proportional to 271,732.95, 407,651.21 and 109,639.86 is: 164,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,732.95 : 407,651.21 = 109,639.86 : x
  2. Step 2: Convert to fraction form
    271,732.95/407,651.21 = 109,639.86/x
  3. Step 3: Cross multiply
    271,732.95x = 407,651.21 × 109,639.86
  4. Step 4: Simplify right side
    271,732.95x = 44,694,821,045.03
  5. Step 5: Solve for x
    x = 44,694,821,045.03/271,732.95
  6. Step 6: Final answer
    x = 164,480.68

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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.