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Finding the Fourth Proportional to 271,908.42, 407,904.12 and 138,716.04

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Solution

The fourth proportional to 271,908.42, 407,904.12 and 138,716.04 is: 208,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,908.42 : 407,904.12 = 138,716.04 : x
  2. Step 2: Convert to fraction form
    271,908.42/407,904.12 = 138,716.04/x
  3. Step 3: Cross multiply
    271,908.42x = 407,904.12 × 138,716.04
  4. Step 4: Simplify right side
    271,908.42x = 56,582,844,226.08
  5. Step 5: Solve for x
    x = 56,582,844,226.08/271,908.42
  6. Step 6: Final answer
    x = 208,095.23

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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.