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Finding the Fourth Proportional to 271,987.64, 407,689.78 and 131,553.08

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Solution

The fourth proportional to 271,987.64, 407,689.78 and 131,553.08 is: 197,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,987.64 : 407,689.78 = 131,553.08 : x
  2. Step 2: Convert to fraction form
    271,987.64/407,689.78 = 131,553.08/x
  3. Step 3: Cross multiply
    271,987.64x = 407,689.78 × 131,553.08
  4. Step 4: Simplify right side
    271,987.64x = 53,632,846,243.52
  5. Step 5: Solve for x
    x = 53,632,846,243.52/271,987.64
  6. Step 6: Final answer
    x = 197,188.54

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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.