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Finding the Fourth Proportional to 119,645.80, 165,109.26 and 65,198.68

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Solution

The fourth proportional to 119,645.80, 165,109.26 and 65,198.68 is: 89,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,645.80 : 165,109.26 = 65,198.68 : x
  2. Step 2: Convert to fraction form
    119,645.80/165,109.26 = 65,198.68/x
  3. Step 3: Cross multiply
    119,645.80x = 165,109.26 × 65,198.68
  4. Step 4: Simplify right side
    119,645.80x = 10,764,905,807.78
  5. Step 5: Solve for x
    x = 10,764,905,807.78/119,645.80
  6. Step 6: Final answer
    x = 89,973.12

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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.