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Finding the Fourth Proportional to 120,408.60, 166,168.49 and 66,692.47

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Solution

The fourth proportional to 120,408.60, 166,168.49 and 66,692.47 is: 92,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,408.60 : 166,168.49 = 66,692.47 : x
  2. Step 2: Convert to fraction form
    120,408.60/166,168.49 = 66,692.47/x
  3. Step 3: Cross multiply
    120,408.60x = 166,168.49 × 66,692.47
  4. Step 4: Simplify right side
    120,408.60x = 11,082,187,034.27
  5. Step 5: Solve for x
    x = 11,082,187,034.27/120,408.60
  6. Step 6: Final answer
    x = 92,038.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.