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Finding the Fourth Proportional to 119,653.18, 165,120.66 and 65,205.22

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Solution

The fourth proportional to 119,653.18, 165,120.66 and 65,205.22 is: 89,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,653.18 : 165,120.66 = 65,205.22 : x
  2. Step 2: Convert to fraction form
    119,653.18/165,120.66 = 65,205.22/x
  3. Step 3: Cross multiply
    119,653.18x = 165,120.66 × 65,205.22
  4. Step 4: Simplify right side
    119,653.18x = 10,766,728,961.85
  5. Step 5: Solve for x
    x = 10,766,728,961.85/119,653.18
  6. Step 6: Final answer
    x = 89,982.81

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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.