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Finding the Fourth Proportional to 120,646.38, 166,484.49 and 66,930.30

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Solution

The fourth proportional to 120,646.38, 166,484.49 and 66,930.30 is: 92,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,646.38 : 166,484.49 = 66,930.30 : x
  2. Step 2: Convert to fraction form
    120,646.38/166,484.49 = 66,930.30/x
  3. Step 3: Cross multiply
    120,646.38x = 166,484.49 × 66,930.30
  4. Step 4: Simplify right side
    120,646.38x = 11,142,856,861.05
  5. Step 5: Solve for x
    x = 11,142,856,861.05/120,646.38
  6. Step 6: Final answer
    x = 92,359.65

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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.