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Finding the Fourth Proportional to 180,999.40, 271,231.80 and 131,184.40

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Solution

The fourth proportional to 180,999.40, 271,231.80 and 131,184.40 is: 196,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,999.40 : 271,231.80 = 131,184.40 : x
  2. Step 2: Convert to fraction form
    180,999.40/271,231.80 = 131,184.40/x
  3. Step 3: Cross multiply
    180,999.40x = 271,231.80 × 131,184.40
  4. Step 4: Simplify right side
    180,999.40x = 35,581,380,943.92
  5. Step 5: Solve for x
    x = 35,581,380,943.92/180,999.40
  6. Step 6: Final answer
    x = 196,582.87

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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.