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Finding the Fourth Proportional to 201,230.40, 301,408.20 and 122,206.80

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Solution

The fourth proportional to 201,230.40, 301,408.20 and 122,206.80 is: 183,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,230.40 : 301,408.20 = 122,206.80 : x
  2. Step 2: Convert to fraction form
    201,230.40/301,408.20 = 122,206.80/x
  3. Step 3: Cross multiply
    201,230.40x = 301,408.20 × 122,206.80
  4. Step 4: Simplify right side
    201,230.40x = 36,834,131,615.76
  5. Step 5: Solve for x
    x = 36,834,131,615.76/201,230.40
  6. Step 6: Final answer
    x = 183,044.57

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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.