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Finding the Fourth Proportional to 213,219.80, 319,743.30 and 72,906.20

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Solution

The fourth proportional to 213,219.80, 319,743.30 and 72,906.20 is: 109,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,219.80 : 319,743.30 = 72,906.20 : x
  2. Step 2: Convert to fraction form
    213,219.80/319,743.30 = 72,906.20/x
  3. Step 3: Cross multiply
    213,219.80x = 319,743.30 × 72,906.20
  4. Step 4: Simplify right side
    213,219.80x = 23,311,268,978.46
  5. Step 5: Solve for x
    x = 23,311,268,978.46/213,219.80
  6. Step 6: Final answer
    x = 109,329.76

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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.