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Finding the Fourth Proportional to 197,996.45, 297,049.55 and 91,413

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Solution

The fourth proportional to 197,996.45, 297,049.55 and 91,413 is: 137,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,996.45 : 297,049.55 = 91,413 : x
  2. Step 2: Convert to fraction form
    197,996.45/297,049.55 = 91,413/x
  3. Step 3: Cross multiply
    197,996.45x = 297,049.55 × 91,413
  4. Step 4: Simplify right side
    197,996.45x = 27,154,190,057.09
  5. Step 5: Solve for x
    x = 27,154,190,057.09/197,996.45
  6. Step 6: Final answer
    x = 137,144.84

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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.