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Finding the Fourth Proportional to 84,708.44, 127,074.34 and 28,564.58

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Solution

The fourth proportional to 84,708.44, 127,074.34 and 28,564.58 is: 42,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,708.44 : 127,074.34 = 28,564.58 : x
  2. Step 2: Convert to fraction form
    84,708.44/127,074.34 = 28,564.58/x
  3. Step 3: Cross multiply
    84,708.44x = 127,074.34 × 28,564.58
  4. Step 4: Simplify right side
    84,708.44x = 3,629,825,150.88
  5. Step 5: Solve for x
    x = 3,629,825,150.88/84,708.44
  6. Step 6: Final answer
    x = 42,850.81

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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.