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Finding the Fourth Proportional to 133,809.78, 200,714.76 and 33,977.46

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Solution

The fourth proportional to 133,809.78, 200,714.76 and 33,977.46 is: 50,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,809.78 : 200,714.76 = 33,977.46 : x
  2. Step 2: Convert to fraction form
    133,809.78/200,714.76 = 33,977.46/x
  3. Step 3: Cross multiply
    133,809.78x = 200,714.76 × 33,977.46
  4. Step 4: Simplify right side
    133,809.78x = 6,819,777,729.31
  5. Step 5: Solve for x
    x = 6,819,777,729.31/133,809.78
  6. Step 6: Final answer
    x = 50,966.21

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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.