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Finding the Fourth Proportional to 133,819.78, 200,729.76 and 33,987.46

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Solution

The fourth proportional to 133,819.78, 200,729.76 and 33,987.46 is: 50,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,819.78 : 200,729.76 = 33,987.46 : x
  2. Step 2: Convert to fraction form
    133,819.78/200,729.76 = 33,987.46/x
  3. Step 3: Cross multiply
    133,819.78x = 200,729.76 × 33,987.46
  4. Step 4: Simplify right side
    133,819.78x = 6,822,294,688.81
  5. Step 5: Solve for x
    x = 6,822,294,688.81/133,819.78
  6. Step 6: Final answer
    x = 50,981.21

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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.