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Finding the Fourth Proportional to 201,623.80, 302,435.70 and 83,234.20

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Solution

The fourth proportional to 201,623.80, 302,435.70 and 83,234.20 is: 124,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,623.80 : 302,435.70 = 83,234.20 : x
  2. Step 2: Convert to fraction form
    201,623.80/302,435.70 = 83,234.20/x
  3. Step 3: Cross multiply
    201,623.80x = 302,435.70 × 83,234.20
  4. Step 4: Simplify right side
    201,623.80x = 25,172,993,540.94
  5. Step 5: Solve for x
    x = 25,172,993,540.94/201,623.80
  6. Step 6: Final answer
    x = 124,851.30

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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.