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Finding the Fourth Proportional to 140,120.80, 210,181.20 and 131,826.40

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Solution

The fourth proportional to 140,120.80, 210,181.20 and 131,826.40 is: 197,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,120.80 : 210,181.20 = 131,826.40 : x
  2. Step 2: Convert to fraction form
    140,120.80/210,181.20 = 131,826.40/x
  3. Step 3: Cross multiply
    140,120.80x = 210,181.20 × 131,826.40
  4. Step 4: Simplify right side
    140,120.80x = 27,707,430,943.68
  5. Step 5: Solve for x
    x = 27,707,430,943.68/140,120.80
  6. Step 6: Final answer
    x = 197,739.60

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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.