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Finding the Fourth Proportional to 70,428.44, 105,570.48 and 30,978.20

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Solution

The fourth proportional to 70,428.44, 105,570.48 and 30,978.20 is: 46,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,428.44 : 105,570.48 = 30,978.20 : x
  2. Step 2: Convert to fraction form
    70,428.44/105,570.48 = 30,978.20/x
  3. Step 3: Cross multiply
    70,428.44x = 105,570.48 × 30,978.20
  4. Step 4: Simplify right side
    70,428.44x = 3,270,383,443.54
  5. Step 5: Solve for x
    x = 3,270,383,443.54/70,428.44
  6. Step 6: Final answer
    x = 46,435.55

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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.