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Finding the Fourth Proportional to 127,940.70, 192,083.85 and 81,284.70

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Solution

The fourth proportional to 127,940.70, 192,083.85 and 81,284.70 is: 122,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,940.70 : 192,083.85 = 81,284.70 : x
  2. Step 2: Convert to fraction form
    127,940.70/192,083.85 = 81,284.70/x
  3. Step 3: Cross multiply
    127,940.70x = 192,083.85 × 81,284.70
  4. Step 4: Simplify right side
    127,940.70x = 15,613,478,122.10
  5. Step 5: Solve for x
    x = 15,613,478,122.10/127,940.70
  6. Step 6: Final answer
    x = 122,036.84

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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.