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Finding the Fourth Proportional to 271,896.62, 407,845.08 and 103,378.01

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Solution

The fourth proportional to 271,896.62, 407,845.08 and 103,378.01 is: 155,067.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,896.62 : 407,845.08 = 103,378.01 : x
  2. Step 2: Convert to fraction form
    271,896.62/407,845.08 = 103,378.01/x
  3. Step 3: Cross multiply
    271,896.62x = 407,845.08 × 103,378.01
  4. Step 4: Simplify right side
    271,896.62x = 42,162,210,719.47
  5. Step 5: Solve for x
    x = 42,162,210,719.47/271,896.62
  6. Step 6: Final answer
    x = 155,067.07

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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.