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Finding the Fourth Proportional to 120,863.30, 166,815.23 and 77,227.94

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Solution

The fourth proportional to 120,863.30, 166,815.23 and 77,227.94 is: 106,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,863.30 : 166,815.23 = 77,227.94 : x
  2. Step 2: Convert to fraction form
    120,863.30/166,815.23 = 77,227.94/x
  3. Step 3: Cross multiply
    120,863.30x = 166,815.23 × 77,227.94
  4. Step 4: Simplify right side
    120,863.30x = 12,882,796,187.39
  5. Step 5: Solve for x
    x = 12,882,796,187.39/120,863.30
  6. Step 6: Final answer
    x = 106,589.81

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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.