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Finding the Fourth Proportional to 195,636, 269,977.68 and 106,212

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Solution

The fourth proportional to 195,636, 269,977.68 and 106,212 is: 146,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,636 : 269,977.68 = 106,212 : x
  2. Step 2: Convert to fraction form
    195,636/269,977.68 = 106,212/x
  3. Step 3: Cross multiply
    195,636x = 269,977.68 × 106,212
  4. Step 4: Simplify right side
    195,636x = 28,674,869,348.16
  5. Step 5: Solve for x
    x = 28,674,869,348.16/195,636
  6. Step 6: Final answer
    x = 146,572.56

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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.