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Finding the Fourth Proportional to 84,821.20, 127,231.80 and 43,262.80

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Solution

The fourth proportional to 84,821.20, 127,231.80 and 43,262.80 is: 64,894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,821.20 : 127,231.80 = 43,262.80 : x
  2. Step 2: Convert to fraction form
    84,821.20/127,231.80 = 43,262.80/x
  3. Step 3: Cross multiply
    84,821.20x = 127,231.80 × 43,262.80
  4. Step 4: Simplify right side
    84,821.20x = 5,504,403,917.04
  5. Step 5: Solve for x
    x = 5,504,403,917.04/84,821.20
  6. Step 6: Final answer
    x = 64,894.20

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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.