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Finding the Fourth Proportional to 180,742.70, 271,062.21 and 69,908.78

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Solution

The fourth proportional to 180,742.70, 271,062.21 and 69,908.78 is: 104,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,742.70 : 271,062.21 = 69,908.78 : x
  2. Step 2: Convert to fraction form
    180,742.70/271,062.21 = 69,908.78/x
  3. Step 3: Cross multiply
    180,742.70x = 271,062.21 × 69,908.78
  4. Step 4: Simplify right side
    180,742.70x = 18,949,628,405.20
  5. Step 5: Solve for x
    x = 18,949,628,405.20/180,742.70
  6. Step 6: Final answer
    x = 104,843.12

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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.