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Finding the Fourth Proportional to 142,661.20, 214,145.40 and 80,453.20

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Solution

The fourth proportional to 142,661.20, 214,145.40 and 80,453.20 is: 120,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,661.20 : 214,145.40 = 80,453.20 : x
  2. Step 2: Convert to fraction form
    142,661.20/214,145.40 = 80,453.20/x
  3. Step 3: Cross multiply
    142,661.20x = 214,145.40 × 80,453.20
  4. Step 4: Simplify right side
    142,661.20x = 17,228,682,695.28
  5. Step 5: Solve for x
    x = 17,228,682,695.28/142,661.20
  6. Step 6: Final answer
    x = 120,766.42

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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.