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Finding the Fourth Proportional to 200,390, 300,604.92 and 74,063.36

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Solution

The fourth proportional to 200,390, 300,604.92 and 74,063.36 is: 111,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,390 : 300,604.92 = 74,063.36 : x
  2. Step 2: Convert to fraction form
    200,390/300,604.92 = 74,063.36/x
  3. Step 3: Cross multiply
    200,390x = 300,604.92 × 74,063.36
  4. Step 4: Simplify right side
    200,390x = 22,263,810,407.73
  5. Step 5: Solve for x
    x = 22,263,810,407.73/200,390
  6. Step 6: Final answer
    x = 111,102.40

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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.