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Finding the Fourth Proportional to 186,422.80, 279,634.20 and 81,446.80

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Solution

The fourth proportional to 186,422.80, 279,634.20 and 81,446.80 is: 122,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,422.80 : 279,634.20 = 81,446.80 : x
  2. Step 2: Convert to fraction form
    186,422.80/279,634.20 = 81,446.80/x
  3. Step 3: Cross multiply
    186,422.80x = 279,634.20 × 81,446.80
  4. Step 4: Simplify right side
    186,422.80x = 22,775,310,760.56
  5. Step 5: Solve for x
    x = 22,775,310,760.56/186,422.80
  6. Step 6: Final answer
    x = 122,170.20

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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.