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Finding the Fourth Proportional to 70,905.06, 106,319.97 and 20,978.28

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Solution

The fourth proportional to 70,905.06, 106,319.97 and 20,978.28 is: 31,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,905.06 : 106,319.97 = 20,978.28 : x
  2. Step 2: Convert to fraction form
    70,905.06/106,319.97 = 20,978.28/x
  3. Step 3: Cross multiply
    70,905.06x = 106,319.97 × 20,978.28
  4. Step 4: Simplify right side
    70,905.06x = 2,230,410,100.25
  5. Step 5: Solve for x
    x = 2,230,410,100.25/70,905.06
  6. Step 6: Final answer
    x = 31,456.29

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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.