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Finding the Fourth Proportional to 120,308.85, 166,044.01 and 69,311.88

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Solution

The fourth proportional to 120,308.85, 166,044.01 and 69,311.88 is: 95,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,308.85 : 166,044.01 = 69,311.88 : x
  2. Step 2: Convert to fraction form
    120,308.85/166,044.01 = 69,311.88/x
  3. Step 3: Cross multiply
    120,308.85x = 166,044.01 × 69,311.88
  4. Step 4: Simplify right side
    120,308.85x = 11,508,822,495.84
  5. Step 5: Solve for x
    x = 11,508,822,495.84/120,308.85
  6. Step 6: Final answer
    x = 95,660.65

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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.