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Finding the Fourth Proportional to 196,137.16, 294,176.58 and 71,449

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Solution

The fourth proportional to 196,137.16, 294,176.58 and 71,449 is: 107,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,137.16 : 294,176.58 = 71,449 : x
  2. Step 2: Convert to fraction form
    196,137.16/294,176.58 = 71,449/x
  3. Step 3: Cross multiply
    196,137.16x = 294,176.58 × 71,449
  4. Step 4: Simplify right side
    196,137.16x = 21,018,622,464.42
  5. Step 5: Solve for x
    x = 21,018,622,464.42/196,137.16
  6. Step 6: Final answer
    x = 107,162.88

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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.