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Finding the Fourth Proportional to 213,367.41, 319,980.76 and 71,173.50

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Solution

The fourth proportional to 213,367.41, 319,980.76 and 71,173.50 is: 106,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,367.41 : 319,980.76 = 71,173.50 : x
  2. Step 2: Convert to fraction form
    213,367.41/319,980.76 = 71,173.50/x
  3. Step 3: Cross multiply
    213,367.41x = 319,980.76 × 71,173.50
  4. Step 4: Simplify right side
    213,367.41x = 22,774,150,443.93
  5. Step 5: Solve for x
    x = 22,774,150,443.93/213,367.41
  6. Step 6: Final answer
    x = 106,736.78

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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.