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Finding the Fourth Proportional to 142,212, 213,380.21 and 67,385.62

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Solution

The fourth proportional to 142,212, 213,380.21 and 67,385.62 is: 101,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,212 : 213,380.21 = 67,385.62 : x
  2. Step 2: Convert to fraction form
    142,212/213,380.21 = 67,385.62/x
  3. Step 3: Cross multiply
    142,212x = 213,380.21 × 67,385.62
  4. Step 4: Simplify right side
    142,212x = 14,378,757,746.58
  5. Step 5: Solve for x
    x = 14,378,757,746.58/142,212
  6. Step 6: Final answer
    x = 101,107.91

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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.