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Finding the Fourth Proportional to 199,635.63, 299,191 and 98,489.31

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Solution

The fourth proportional to 199,635.63, 299,191 and 98,489.31 is: 147,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,635.63 : 299,191 = 98,489.31 : x
  2. Step 2: Convert to fraction form
    199,635.63/299,191 = 98,489.31/x
  3. Step 3: Cross multiply
    199,635.63x = 299,191 × 98,489.31
  4. Step 4: Simplify right side
    199,635.63x = 29,467,115,148.21
  5. Step 5: Solve for x
    x = 29,467,115,148.21/199,635.63
  6. Step 6: Final answer
    x = 147,604.49

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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.