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Finding the Fourth Proportional to 228,481.13, 315,204.69 and 137,786.69

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Solution

The fourth proportional to 228,481.13, 315,204.69 and 137,786.69 is: 190,085.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,481.13 : 315,204.69 = 137,786.69 : x
  2. Step 2: Convert to fraction form
    228,481.13/315,204.69 = 137,786.69/x
  3. Step 3: Cross multiply
    228,481.13x = 315,204.69 × 137,786.69
  4. Step 4: Simplify right side
    228,481.13x = 43,431,010,218.64
  5. Step 5: Solve for x
    x = 43,431,010,218.64/228,481.13
  6. Step 6: Final answer
    x = 190,085.77

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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.