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Finding the Fourth Proportional to 105,517, 158,258.22 and 74,257.48

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Solution

The fourth proportional to 105,517, 158,258.22 and 74,257.48 is: 111,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,517 : 158,258.22 = 74,257.48 : x
  2. Step 2: Convert to fraction form
    105,517/158,258.22 = 74,257.48/x
  3. Step 3: Cross multiply
    105,517x = 158,258.22 × 74,257.48
  4. Step 4: Simplify right side
    105,517x = 11,751,856,606.49
  5. Step 5: Solve for x
    x = 11,751,856,606.49/105,517
  6. Step 6: Final answer
    x = 111,374.06

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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.