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Finding the Fourth Proportional to 120,930.72, 166,871.11 and 69,935.82

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Solution

The fourth proportional to 120,930.72, 166,871.11 and 69,935.82 is: 96,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,930.72 : 166,871.11 = 69,935.82 : x
  2. Step 2: Convert to fraction form
    120,930.72/166,871.11 = 69,935.82/x
  3. Step 3: Cross multiply
    120,930.72x = 166,871.11 × 69,935.82
  4. Step 4: Simplify right side
    120,930.72x = 11,670,267,912.16
  5. Step 5: Solve for x
    x = 11,670,267,912.16/120,930.72
  6. Step 6: Final answer
    x = 96,503.75

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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.