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Finding the Fourth Proportional to 70,978.36, 106,449.36 and 21,046.80

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Solution

The fourth proportional to 70,978.36, 106,449.36 and 21,046.80 is: 31,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,978.36 : 106,449.36 = 21,046.80 : x
  2. Step 2: Convert to fraction form
    70,978.36/106,449.36 = 21,046.80/x
  3. Step 3: Cross multiply
    70,978.36x = 106,449.36 × 21,046.80
  4. Step 4: Simplify right side
    70,978.36x = 2,240,418,390.05
  5. Step 5: Solve for x
    x = 2,240,418,390.05/70,978.36
  6. Step 6: Final answer
    x = 31,564.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.