Home / 205,917-284,170.20-115,270.68

Finding the Fourth Proportional to 205,917, 284,170.20 and 115,270.68

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Solution

The fourth proportional to 205,917, 284,170.20 and 115,270.68 is: 159,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,917 : 284,170.20 = 115,270.68 : x
  2. Step 2: Convert to fraction form
    205,917/284,170.20 = 115,270.68/x
  3. Step 3: Cross multiply
    205,917x = 284,170.20 × 115,270.68
  4. Step 4: Simplify right side
    205,917x = 32,756,492,189.74
  5. Step 5: Solve for x
    x = 32,756,492,189.74/205,917
  6. Step 6: Final answer
    x = 159,076.19

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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.