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Finding the Fourth Proportional to 199,636.22, 299,205.11 and 99,824.96

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Solution

The fourth proportional to 199,636.22, 299,205.11 and 99,824.96 is: 149,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,636.22 : 299,205.11 = 99,824.96 : x
  2. Step 2: Convert to fraction form
    199,636.22/299,205.11 = 99,824.96/x
  3. Step 3: Cross multiply
    199,636.22x = 299,205.11 × 99,824.96
  4. Step 4: Simplify right side
    199,636.22x = 29,868,136,142.40
  5. Step 5: Solve for x
    x = 29,868,136,142.40/199,636.22
  6. Step 6: Final answer
    x = 149,612.82

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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.