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Finding the Fourth Proportional to 201,234.40, 301,414.20 and 122,210.80

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Solution

The fourth proportional to 201,234.40, 301,414.20 and 122,210.80 is: 183,050.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,234.40 : 301,414.20 = 122,210.80 : x
  2. Step 2: Convert to fraction form
    201,234.40/301,414.20 = 122,210.80/x
  3. Step 3: Cross multiply
    201,234.40x = 301,414.20 × 122,210.80
  4. Step 4: Simplify right side
    201,234.40x = 36,836,070,513.36
  5. Step 5: Solve for x
    x = 36,836,070,513.36/201,234.40
  6. Step 6: Final answer
    x = 183,050.56

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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.