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Finding the Fourth Proportional to 195,740, 270,121.48 and 106,316

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Solution

The fourth proportional to 195,740, 270,121.48 and 106,316 is: 146,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,740 : 270,121.48 = 106,316 : x
  2. Step 2: Convert to fraction form
    195,740/270,121.48 = 106,316/x
  3. Step 3: Cross multiply
    195,740x = 270,121.48 × 106,316
  4. Step 4: Simplify right side
    195,740x = 28,718,235,267.68
  5. Step 5: Solve for x
    x = 28,718,235,267.68/195,740
  6. Step 6: Final answer
    x = 146,716.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.