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Finding the Fourth Proportional to 213,015.96, 319,480.20 and 100,648.44

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Solution

The fourth proportional to 213,015.96, 319,480.20 and 100,648.44 is: 150,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,015.96 : 319,480.20 = 100,648.44 : x
  2. Step 2: Convert to fraction form
    213,015.96/319,480.20 = 100,648.44/x
  3. Step 3: Cross multiply
    213,015.96x = 319,480.20 × 100,648.44
  4. Step 4: Simplify right side
    213,015.96x = 32,155,183,740.89
  5. Step 5: Solve for x
    x = 32,155,183,740.89/213,015.96
  6. Step 6: Final answer
    x = 150,951.99

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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.