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Finding the Fourth Proportional to 202,223.40, 303,189.30 and 132,142.20

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Solution

The fourth proportional to 202,223.40, 303,189.30 and 132,142.20 is: 198,118.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,223.40 : 303,189.30 = 132,142.20 : x
  2. Step 2: Convert to fraction form
    202,223.40/303,189.30 = 132,142.20/x
  3. Step 3: Cross multiply
    202,223.40x = 303,189.30 × 132,142.20
  4. Step 4: Simplify right side
    202,223.40x = 40,064,101,118.46
  5. Step 5: Solve for x
    x = 40,064,101,118.46/202,223.40
  6. Step 6: Final answer
    x = 198,118.03

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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.