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Finding the Fourth Proportional to 197,438, 272,464.44 and 106,793.96

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Solution

The fourth proportional to 197,438, 272,464.44 and 106,793.96 is: 147,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,438 : 272,464.44 = 106,793.96 : x
  2. Step 2: Convert to fraction form
    197,438/272,464.44 = 106,793.96/x
  3. Step 3: Cross multiply
    197,438x = 272,464.44 × 106,793.96
  4. Step 4: Simplify right side
    197,438x = 29,097,556,506.78
  5. Step 5: Solve for x
    x = 29,097,556,506.78/197,438
  6. Step 6: Final answer
    x = 147,375.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.