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Finding the Fourth Proportional to 221,451.20, 332,176.80 and 142,719.20

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Solution

The fourth proportional to 221,451.20, 332,176.80 and 142,719.20 is: 214,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,451.20 : 332,176.80 = 142,719.20 : x
  2. Step 2: Convert to fraction form
    221,451.20/332,176.80 = 142,719.20/x
  3. Step 3: Cross multiply
    221,451.20x = 332,176.80 × 142,719.20
  4. Step 4: Simplify right side
    221,451.20x = 47,408,007,154.56
  5. Step 5: Solve for x
    x = 47,408,007,154.56/221,451.20
  6. Step 6: Final answer
    x = 214,078.80

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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.