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Finding the Fourth Proportional to 199,721.80, 299,712.30 and 115,481.80

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Solution

The fourth proportional to 199,721.80, 299,712.30 and 115,481.80 is: 173,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,721.80 : 299,712.30 = 115,481.80 : x
  2. Step 2: Convert to fraction form
    199,721.80/299,712.30 = 115,481.80/x
  3. Step 3: Cross multiply
    199,721.80x = 299,712.30 × 115,481.80
  4. Step 4: Simplify right side
    199,721.80x = 34,611,315,886.14
  5. Step 5: Solve for x
    x = 34,611,315,886.14/199,721.80
  6. Step 6: Final answer
    x = 173,297.64

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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.