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Finding the Fourth Proportional to 120,164.70, 165,839.74 and 69,179.24

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Solution

The fourth proportional to 120,164.70, 165,839.74 and 69,179.24 is: 95,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,164.70 : 165,839.74 = 69,179.24 : x
  2. Step 2: Convert to fraction form
    120,164.70/165,839.74 = 69,179.24/x
  3. Step 3: Cross multiply
    120,164.70x = 165,839.74 × 69,179.24
  4. Step 4: Simplify right side
    120,164.70x = 11,472,667,175.00
  5. Step 5: Solve for x
    x = 11,472,667,175.00/120,164.70
  6. Step 6: Final answer
    x = 95,474.52

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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.