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Finding the Fourth Proportional to 33,105, 45,684.90 and 18,201

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Solution

The fourth proportional to 33,105, 45,684.90 and 18,201 is: 25,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,105 : 45,684.90 = 18,201 : x
  2. Step 2: Convert to fraction form
    33,105/45,684.90 = 18,201/x
  3. Step 3: Cross multiply
    33,105x = 45,684.90 × 18,201
  4. Step 4: Simplify right side
    33,105x = 831,510,864.90
  5. Step 5: Solve for x
    x = 831,510,864.90/33,105
  6. Step 6: Final answer
    x = 25,117.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.