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Finding the Fourth Proportional to 70,842.94, 106,232.38 and 20,905.49

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Solution

The fourth proportional to 70,842.94, 106,232.38 and 20,905.49 is: 31,348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,842.94 : 106,232.38 = 20,905.49 : x
  2. Step 2: Convert to fraction form
    70,842.94/106,232.38 = 20,905.49/x
  3. Step 3: Cross multiply
    70,842.94x = 106,232.38 × 20,905.49
  4. Step 4: Simplify right side
    70,842.94x = 2,220,840,171.08
  5. Step 5: Solve for x
    x = 2,220,840,171.08/70,842.94
  6. Step 6: Final answer
    x = 31,348.79

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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.