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Finding the Fourth Proportional to 213,195.87, 319,960.95 and 148,734.84

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Solution

The fourth proportional to 213,195.87, 319,960.95 and 148,734.84 is: 223,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,195.87 : 319,960.95 = 148,734.84 : x
  2. Step 2: Convert to fraction form
    213,195.87/319,960.95 = 148,734.84/x
  3. Step 3: Cross multiply
    213,195.87x = 319,960.95 × 148,734.84
  4. Step 4: Simplify right side
    213,195.87x = 47,589,340,704.50
  5. Step 5: Solve for x
    x = 47,589,340,704.50/213,195.87
  6. Step 6: Final answer
    x = 223,218.87

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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.