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Finding the Fourth Proportional to 199,735.52, 299,340.72 and 98,589.20

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Solution

The fourth proportional to 199,735.52, 299,340.72 and 98,589.20 is: 147,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,735.52 : 299,340.72 = 98,589.20 : x
  2. Step 2: Convert to fraction form
    199,735.52/299,340.72 = 98,589.20/x
  3. Step 3: Cross multiply
    199,735.52x = 299,340.72 × 98,589.20
  4. Step 4: Simplify right side
    199,735.52x = 29,511,762,112.22
  5. Step 5: Solve for x
    x = 29,511,762,112.22/199,735.52
  6. Step 6: Final answer
    x = 147,754.20

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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.