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Finding the Fourth Proportional to 200,202.17, 300,161.50 and 100,291.10

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Solution

The fourth proportional to 200,202.17, 300,161.50 and 100,291.10 is: 150,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,202.17 : 300,161.50 = 100,291.10 : x
  2. Step 2: Convert to fraction form
    200,202.17/300,161.50 = 100,291.10/x
  3. Step 3: Cross multiply
    200,202.17x = 300,161.50 × 100,291.10
  4. Step 4: Simplify right side
    200,202.17x = 30,103,525,261.11
  5. Step 5: Solve for x
    x = 30,103,525,261.11/200,202.17
  6. Step 6: Final answer
    x = 150,365.63

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1.5x scale

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.