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Finding the Fourth Proportional to 109,081.44, 163,602 and 30,185.28

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Solution

The fourth proportional to 109,081.44, 163,602 and 30,185.28 is: 45,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,081.44 : 163,602 = 30,185.28 : x
  2. Step 2: Convert to fraction form
    109,081.44/163,602 = 30,185.28/x
  3. Step 3: Cross multiply
    109,081.44x = 163,602 × 30,185.28
  4. Step 4: Simplify right side
    109,081.44x = 4,938,372,178.56
  5. Step 5: Solve for x
    x = 4,938,372,178.56/109,081.44
  6. Step 6: Final answer
    x = 45,272.34

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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.