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Finding the Fourth Proportional to 213,016.96, 319,481.70 and 100,649.44

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Solution

The fourth proportional to 213,016.96, 319,481.70 and 100,649.44 is: 150,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,016.96 : 319,481.70 = 100,649.44 : x
  2. Step 2: Convert to fraction form
    213,016.96/319,481.70 = 100,649.44/x
  3. Step 3: Cross multiply
    213,016.96x = 319,481.70 × 100,649.44
  4. Step 4: Simplify right side
    213,016.96x = 32,155,654,195.25
  5. Step 5: Solve for x
    x = 32,155,654,195.25/213,016.96
  6. Step 6: Final answer
    x = 150,953.49

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1.5x scale

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.