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Finding the Fourth Proportional to 142,692.20, 214,040.39 and 67,819.98

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Solution

The fourth proportional to 142,692.20, 214,040.39 and 67,819.98 is: 101,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,692.20 : 214,040.39 = 67,819.98 : x
  2. Step 2: Convert to fraction form
    142,692.20/214,040.39 = 67,819.98/x
  3. Step 3: Cross multiply
    142,692.20x = 214,040.39 × 67,819.98
  4. Step 4: Simplify right side
    142,692.20x = 14,516,215,814.03
  5. Step 5: Solve for x
    x = 14,516,215,814.03/142,692.20
  6. Step 6: Final answer
    x = 101,730.97

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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.