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Finding the Fourth Proportional to 180,855.64, 271,272.52 and 80,989.01

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Solution

The fourth proportional to 180,855.64, 271,272.52 and 80,989.01 is: 121,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,855.64 : 271,272.52 = 80,989.01 : x
  2. Step 2: Convert to fraction form
    180,855.64/271,272.52 = 80,989.01/x
  3. Step 3: Cross multiply
    180,855.64x = 271,272.52 × 80,989.01
  4. Step 4: Simplify right side
    180,855.64x = 21,970,093,895.28
  5. Step 5: Solve for x
    x = 21,970,093,895.28/180,855.64
  6. Step 6: Final answer
    x = 121,478.62

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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.