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Finding the Fourth Proportional to 70,716.69, 106,058.61 and 20,783.43

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Solution

The fourth proportional to 70,716.69, 106,058.61 and 20,783.43 is: 31,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,716.69 : 106,058.61 = 20,783.43 : x
  2. Step 2: Convert to fraction form
    70,716.69/106,058.61 = 20,783.43/x
  3. Step 3: Cross multiply
    70,716.69x = 106,058.61 × 20,783.43
  4. Step 4: Simplify right side
    70,716.69x = 2,204,261,696.83
  5. Step 5: Solve for x
    x = 2,204,261,696.83/70,716.69
  6. Step 6: Final answer
    x = 31,170.32

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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.