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Finding the Fourth Proportional to 142,408.20, 213,765.90 and 80,200.20

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Solution

The fourth proportional to 142,408.20, 213,765.90 and 80,200.20 is: 120,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,408.20 : 213,765.90 = 80,200.20 : x
  2. Step 2: Convert to fraction form
    142,408.20/213,765.90 = 80,200.20/x
  3. Step 3: Cross multiply
    142,408.20x = 213,765.90 × 80,200.20
  4. Step 4: Simplify right side
    142,408.20x = 17,144,067,933.18
  5. Step 5: Solve for x
    x = 17,144,067,933.18/142,408.20
  6. Step 6: Final answer
    x = 120,386.80

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1.5x scale

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.