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Finding the Fourth Proportional to 198,089.56, 297,059.84 and 71,698.57

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Solution

The fourth proportional to 198,089.56, 297,059.84 and 71,698.57 is: 107,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,089.56 : 297,059.84 = 71,698.57 : x
  2. Step 2: Convert to fraction form
    198,089.56/297,059.84 = 71,698.57/x
  3. Step 3: Cross multiply
    198,089.56x = 297,059.84 × 71,698.57
  4. Step 4: Simplify right side
    198,089.56x = 21,298,763,888.64
  5. Step 5: Solve for x
    x = 21,298,763,888.64/198,089.56
  6. Step 6: Final answer
    x = 107,520.88

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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.