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Finding the Fourth Proportional to 120,388.81, 166,098.89 and 69,394.58

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Solution

The fourth proportional to 120,388.81, 166,098.89 and 69,394.58 is: 95,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,388.81 : 166,098.89 = 69,394.58 : x
  2. Step 2: Convert to fraction form
    120,388.81/166,098.89 = 69,394.58/x
  3. Step 3: Cross multiply
    120,388.81x = 166,098.89 × 69,394.58
  4. Step 4: Simplify right side
    120,388.81x = 11,526,361,532.55
  5. Step 5: Solve for x
    x = 11,526,361,532.55/120,388.81
  6. Step 6: Final answer
    x = 95,742.80

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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.