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Finding the Fourth Proportional to 209,734, 289,432.92 and 120,338.80

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Solution

The fourth proportional to 209,734, 289,432.92 and 120,338.80 is: 166,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,734 : 289,432.92 = 120,338.80 : x
  2. Step 2: Convert to fraction form
    209,734/289,432.92 = 120,338.80/x
  3. Step 3: Cross multiply
    209,734x = 289,432.92 × 120,338.80
  4. Step 4: Simplify right side
    209,734x = 34,830,010,273.30
  5. Step 5: Solve for x
    x = 34,830,010,273.30/209,734
  6. Step 6: Final answer
    x = 166,067.54

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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.