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Finding the Fourth Proportional to 133,829.60, 200,680.86 and 77,687.09

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Solution

The fourth proportional to 133,829.60, 200,680.86 and 77,687.09 is: 116,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,829.60 : 200,680.86 = 77,687.09 : x
  2. Step 2: Convert to fraction form
    133,829.60/200,680.86 = 77,687.09/x
  3. Step 3: Cross multiply
    133,829.60x = 200,680.86 × 77,687.09
  4. Step 4: Simplify right side
    133,829.60x = 15,590,311,028.69
  5. Step 5: Solve for x
    x = 15,590,311,028.69/133,829.60
  6. Step 6: Final answer
    x = 116,493.75

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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.