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Finding the Fourth Proportional to 120,821, 166,735.23 and 67,110.98

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Solution

The fourth proportional to 120,821, 166,735.23 and 67,110.98 is: 92,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,821 : 166,735.23 = 67,110.98 : x
  2. Step 2: Convert to fraction form
    120,821/166,735.23 = 67,110.98/x
  3. Step 3: Cross multiply
    120,821x = 166,735.23 × 67,110.98
  4. Step 4: Simplify right side
    120,821x = 11,189,764,685.83
  5. Step 5: Solve for x
    x = 11,189,764,685.83/120,821
  6. Step 6: Final answer
    x = 92,614.40

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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.