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Finding the Fourth Proportional to 213,288.59, 319,735.15 and 80,257.03

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Solution

The fourth proportional to 213,288.59, 319,735.15 and 80,257.03 is: 120,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,288.59 : 319,735.15 = 80,257.03 : x
  2. Step 2: Convert to fraction form
    213,288.59/319,735.15 = 80,257.03/x
  3. Step 3: Cross multiply
    213,288.59x = 319,735.15 × 80,257.03
  4. Step 4: Simplify right side
    213,288.59x = 25,660,992,525.62
  5. Step 5: Solve for x
    x = 25,660,992,525.62/213,288.59
  6. Step 6: Final answer
    x = 120,311.13

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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.