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Finding the Fourth Proportional to 200,723.40, 300,822.30 and 100,996.20

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Solution

The fourth proportional to 200,723.40, 300,822.30 and 100,996.20 is: 151,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,723.40 : 300,822.30 = 100,996.20 : x
  2. Step 2: Convert to fraction form
    200,723.40/300,822.30 = 100,996.20/x
  3. Step 3: Cross multiply
    200,723.40x = 300,822.30 × 100,996.20
  4. Step 4: Simplify right side
    200,723.40x = 30,381,909,175.26
  5. Step 5: Solve for x
    x = 30,381,909,175.26/200,723.40
  6. Step 6: Final answer
    x = 151,362.07

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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.