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Finding the Fourth Proportional to 199,517.40, 299,621.70 and 106,205.40

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Solution

The fourth proportional to 199,517.40, 299,621.70 and 106,205.40 is: 159,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,517.40 : 299,621.70 = 106,205.40 : x
  2. Step 2: Convert to fraction form
    199,517.40/299,621.70 = 106,205.40/x
  3. Step 3: Cross multiply
    199,517.40x = 299,621.70 × 106,205.40
  4. Step 4: Simplify right side
    199,517.40x = 31,821,442,497.18
  5. Step 5: Solve for x
    x = 31,821,442,497.18/199,517.40
  6. Step 6: Final answer
    x = 159,492.07

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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.