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Finding the Fourth Proportional to 120,839.49, 166,758.41 and 67,129.50

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Solution

The fourth proportional to 120,839.49, 166,758.41 and 67,129.50 is: 92,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,839.49 : 166,758.41 = 67,129.50 : x
  2. Step 2: Convert to fraction form
    120,839.49/166,758.41 = 67,129.50/x
  3. Step 3: Cross multiply
    120,839.49x = 166,758.41 × 67,129.50
  4. Step 4: Simplify right side
    120,839.49x = 11,194,409,477.26
  5. Step 5: Solve for x
    x = 11,194,409,477.26/120,839.49
  6. Step 6: Final answer
    x = 92,638.67

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1.5x scale

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.