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Finding the Fourth Proportional to 120,412, 166,170.26 and 69,423.68

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Solution

The fourth proportional to 120,412, 166,170.26 and 69,423.68 is: 95,805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,412 : 166,170.26 = 69,423.68 : x
  2. Step 2: Convert to fraction form
    120,412/166,170.26 = 69,423.68/x
  3. Step 3: Cross multiply
    120,412x = 166,170.26 × 69,423.68
  4. Step 4: Simplify right side
    120,412x = 11,536,150,955.76
  5. Step 5: Solve for x
    x = 11,536,150,955.76/120,412
  6. Step 6: Final answer
    x = 95,805.66

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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.