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Finding the Fourth Proportional to 119,682.56, 165,163.05 and 65,969.61

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Solution

The fourth proportional to 119,682.56, 165,163.05 and 65,969.61 is: 91,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,682.56 : 165,163.05 = 65,969.61 : x
  2. Step 2: Convert to fraction form
    119,682.56/165,163.05 = 65,969.61/x
  3. Step 3: Cross multiply
    119,682.56x = 165,163.05 × 65,969.61
  4. Step 4: Simplify right side
    119,682.56x = 10,895,741,994.91
  5. Step 5: Solve for x
    x = 10,895,741,994.91/119,682.56
  6. Step 6: Final answer
    x = 91,038.68

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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.