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Finding the Fourth Proportional to 198,370, 297,556.62 and 73,711

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Solution

The fourth proportional to 198,370, 297,556.62 and 73,711 is: 110,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,370 : 297,556.62 = 73,711 : x
  2. Step 2: Convert to fraction form
    198,370/297,556.62 = 73,711/x
  3. Step 3: Cross multiply
    198,370x = 297,556.62 × 73,711
  4. Step 4: Simplify right side
    198,370x = 21,933,196,016.82
  5. Step 5: Solve for x
    x = 21,933,196,016.82/198,370
  6. Step 6: Final answer
    x = 110,567.10

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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.