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Finding the Fourth Proportional to 120,409.40, 166,164.97 and 66,697.89

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Solution

The fourth proportional to 120,409.40, 166,164.97 and 66,697.89 is: 92,043.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,409.40 : 166,164.97 = 66,697.89 : x
  2. Step 2: Convert to fraction form
    120,409.40/166,164.97 = 66,697.89/x
  3. Step 3: Cross multiply
    120,409.40x = 166,164.97 × 66,697.89
  4. Step 4: Simplify right side
    120,409.40x = 11,082,852,890.91
  5. Step 5: Solve for x
    x = 11,082,852,890.91/120,409.40
  6. Step 6: Final answer
    x = 92,043.09

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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.