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Finding the Fourth Proportional to 133,704.67, 200,421.99 and 83,819.80

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Solution

The fourth proportional to 133,704.67, 200,421.99 and 83,819.80 is: 125,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,704.67 : 200,421.99 = 83,819.80 : x
  2. Step 2: Convert to fraction form
    133,704.67/200,421.99 = 83,819.80/x
  3. Step 3: Cross multiply
    133,704.67x = 200,421.99 × 83,819.80
  4. Step 4: Simplify right side
    133,704.67x = 16,799,331,117.40
  5. Step 5: Solve for x
    x = 16,799,331,117.40/133,704.67
  6. Step 6: Final answer
    x = 125,645.06

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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.