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Finding the Fourth Proportional to 201,229.40, 301,406.70 and 122,205.80

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Solution

The fourth proportional to 201,229.40, 301,406.70 and 122,205.80 is: 183,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,229.40 : 301,406.70 = 122,205.80 : x
  2. Step 2: Convert to fraction form
    201,229.40/301,406.70 = 122,205.80/x
  3. Step 3: Cross multiply
    201,229.40x = 301,406.70 × 122,205.80
  4. Step 4: Simplify right side
    201,229.40x = 36,833,646,898.86
  5. Step 5: Solve for x
    x = 36,833,646,898.86/201,229.40
  6. Step 6: Final answer
    x = 183,043.07

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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.