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Finding the Fourth Proportional to 81,409.20, 122,128.20 and 28,849.20

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Solution

The fourth proportional to 81,409.20, 122,128.20 and 28,849.20 is: 43,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,409.20 : 122,128.20 = 28,849.20 : x
  2. Step 2: Convert to fraction form
    81,409.20/122,128.20 = 28,849.20/x
  3. Step 3: Cross multiply
    81,409.20x = 122,128.20 × 28,849.20
  4. Step 4: Simplify right side
    81,409.20x = 3,523,300,867.44
  5. Step 5: Solve for x
    x = 3,523,300,867.44/81,409.20
  6. Step 6: Final answer
    x = 43,278.90

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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.