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Finding the Fourth Proportional to 133,731.65, 200,911.01 and 126,165.84

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Solution

The fourth proportional to 133,731.65, 200,911.01 and 126,165.84 is: 189,544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,731.65 : 200,911.01 = 126,165.84 : x
  2. Step 2: Convert to fraction form
    133,731.65/200,911.01 = 126,165.84/x
  3. Step 3: Cross multiply
    133,731.65x = 200,911.01 × 126,165.84
  4. Step 4: Simplify right side
    133,731.65x = 25,348,105,711.07
  5. Step 5: Solve for x
    x = 25,348,105,711.07/133,731.65
  6. Step 6: Final answer
    x = 189,544.56

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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.