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Finding the Fourth Proportional to 119,665.87, 165,138.36 and 65,950.77

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Solution

The fourth proportional to 119,665.87, 165,138.36 and 65,950.77 is: 91,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,665.87 : 165,138.36 = 65,950.77 : x
  2. Step 2: Convert to fraction form
    119,665.87/165,138.36 = 65,950.77/x
  3. Step 3: Cross multiply
    119,665.87x = 165,138.36 × 65,950.77
  4. Step 4: Simplify right side
    119,665.87x = 10,891,002,576.26
  5. Step 5: Solve for x
    x = 10,891,002,576.26/119,665.87
  6. Step 6: Final answer
    x = 91,011.77

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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.