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Finding the Fourth Proportional to 199,405.98, 299,165.49 and 81,162.18

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Solution

The fourth proportional to 199,405.98, 299,165.49 and 81,162.18 is: 121,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,405.98 : 299,165.49 = 81,162.18 : x
  2. Step 2: Convert to fraction form
    199,405.98/299,165.49 = 81,162.18/x
  3. Step 3: Cross multiply
    199,405.98x = 299,165.49 × 81,162.18
  4. Step 4: Simplify right side
    199,405.98x = 24,280,923,349.17
  5. Step 5: Solve for x
    x = 24,280,923,349.17/199,405.98
  6. Step 6: Final answer
    x = 121,766.27

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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.