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Finding the Fourth Proportional to 192,834.89, 266,112.15 and 117,383.39

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Solution

The fourth proportional to 192,834.89, 266,112.15 and 117,383.39 is: 161,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,834.89 : 266,112.15 = 117,383.39 : x
  2. Step 2: Convert to fraction form
    192,834.89/266,112.15 = 117,383.39/x
  3. Step 3: Cross multiply
    192,834.89x = 266,112.15 × 117,383.39
  4. Step 4: Simplify right side
    192,834.89x = 31,237,146,287.19
  5. Step 5: Solve for x
    x = 31,237,146,287.19/192,834.89
  6. Step 6: Final answer
    x = 161,989.08

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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.