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Finding the Fourth Proportional to 120,410.96, 166,159.80 and 66,692.78

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Solution

The fourth proportional to 120,410.96, 166,159.80 and 66,692.78 is: 92,031.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,410.96 : 166,159.80 = 66,692.78 : x
  2. Step 2: Convert to fraction form
    120,410.96/166,159.80 = 66,692.78/x
  3. Step 3: Cross multiply
    120,410.96x = 166,159.80 × 66,692.78
  4. Step 4: Simplify right side
    120,410.96x = 11,081,658,986.24
  5. Step 5: Solve for x
    x = 11,081,658,986.24/120,410.96
  6. Step 6: Final answer
    x = 92,031.98

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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.