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Finding the Fourth Proportional to 128,685, 193,105.26 and 54,813

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Solution

The fourth proportional to 128,685, 193,105.26 and 54,813 is: 82,252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,685 : 193,105.26 = 54,813 : x
  2. Step 2: Convert to fraction form
    128,685/193,105.26 = 54,813/x
  3. Step 3: Cross multiply
    128,685x = 193,105.26 × 54,813
  4. Step 4: Simplify right side
    128,685x = 10,584,678,616.38
  5. Step 5: Solve for x
    x = 10,584,678,616.38/128,685
  6. Step 6: Final answer
    x = 82,252.62

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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.