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Finding the Fourth Proportional to 120,186.87, 165,857.02 and 66,469.89

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Solution

The fourth proportional to 120,186.87, 165,857.02 and 66,469.89 is: 91,727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,186.87 : 165,857.02 = 66,469.89 : x
  2. Step 2: Convert to fraction form
    120,186.87/165,857.02 = 66,469.89/x
  3. Step 3: Cross multiply
    120,186.87x = 165,857.02 × 66,469.89
  4. Step 4: Simplify right side
    120,186.87x = 11,024,497,875.13
  5. Step 5: Solve for x
    x = 11,024,497,875.13/120,186.87
  6. Step 6: Final answer
    x = 91,727.97

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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.