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Finding the Fourth Proportional to 70,959.21, 106,439.25 and 21,039.78

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Solution

The fourth proportional to 70,959.21, 106,439.25 and 21,039.78 is: 31,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,959.21 : 106,439.25 = 21,039.78 : x
  2. Step 2: Convert to fraction form
    70,959.21/106,439.25 = 21,039.78/x
  3. Step 3: Cross multiply
    70,959.21x = 106,439.25 × 21,039.78
  4. Step 4: Simplify right side
    70,959.21x = 2,239,458,403.37
  5. Step 5: Solve for x
    x = 2,239,458,403.37/70,959.21
  6. Step 6: Final answer
    x = 31,559.80

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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.