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Finding the Fourth Proportional to 120,087.94, 165,721.52 and 69,099.65

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Solution

The fourth proportional to 120,087.94, 165,721.52 and 69,099.65 is: 95,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,087.94 : 165,721.52 = 69,099.65 : x
  2. Step 2: Convert to fraction form
    120,087.94/165,721.52 = 69,099.65/x
  3. Step 3: Cross multiply
    120,087.94x = 165,721.52 × 69,099.65
  4. Step 4: Simplify right side
    120,087.94x = 11,451,299,098.27
  5. Step 5: Solve for x
    x = 11,451,299,098.27/120,087.94
  6. Step 6: Final answer
    x = 95,357.61

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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.