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Finding the Fourth Proportional to 199,570.48, 299,196.75 and 115,234.90

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Solution

The fourth proportional to 199,570.48, 299,196.75 and 115,234.90 is: 172,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,570.48 : 299,196.75 = 115,234.90 : x
  2. Step 2: Convert to fraction form
    199,570.48/299,196.75 = 115,234.90/x
  3. Step 3: Cross multiply
    199,570.48x = 299,196.75 × 115,234.90
  4. Step 4: Simplify right side
    199,570.48x = 34,477,907,566.58
  5. Step 5: Solve for x
    x = 34,477,907,566.58/199,570.48
  6. Step 6: Final answer
    x = 172,760.56

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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.