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Finding the Fourth Proportional to 133,227, 183,853.26 and 76,638.38

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Solution

The fourth proportional to 133,227, 183,853.26 and 76,638.38 is: 105,760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,227 : 183,853.26 = 76,638.38 : x
  2. Step 2: Convert to fraction form
    133,227/183,853.26 = 76,638.38/x
  3. Step 3: Cross multiply
    133,227x = 183,853.26 × 76,638.38
  4. Step 4: Simplify right side
    133,227x = 14,090,215,084.85
  5. Step 5: Solve for x
    x = 14,090,215,084.85/133,227
  6. Step 6: Final answer
    x = 105,760.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.