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Finding the Fourth Proportional to 120,286.90, 166,013.49 and 69,289.71

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Solution

The fourth proportional to 120,286.90, 166,013.49 and 69,289.71 is: 95,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,286.90 : 166,013.49 = 69,289.71 : x
  2. Step 2: Convert to fraction form
    120,286.90/166,013.49 = 69,289.71/x
  3. Step 3: Cross multiply
    120,286.90x = 166,013.49 × 69,289.71
  4. Step 4: Simplify right side
    120,286.90x = 11,503,026,578.19
  5. Step 5: Solve for x
    x = 11,503,026,578.19/120,286.90
  6. Step 6: Final answer
    x = 95,629.92

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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.