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Finding the Fourth Proportional to 271,942.32, 407,871.35 and 138,920.88

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Solution

The fourth proportional to 271,942.32, 407,871.35 and 138,920.88 is: 208,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,942.32 : 407,871.35 = 138,920.88 : x
  2. Step 2: Convert to fraction form
    271,942.32/407,871.35 = 138,920.88/x
  3. Step 3: Cross multiply
    271,942.32x = 407,871.35 × 138,920.88
  4. Step 4: Simplify right side
    271,942.32x = 56,661,846,868.79
  5. Step 5: Solve for x
    x = 56,661,846,868.79/271,942.32
  6. Step 6: Final answer
    x = 208,359.80

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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.