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Finding the Fourth Proportional to 119,930, 165,517.98 and 69,629

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Solution

The fourth proportional to 119,930, 165,517.98 and 69,629 is: 96,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,930 : 165,517.98 = 69,629 : x
  2. Step 2: Convert to fraction form
    119,930/165,517.98 = 69,629/x
  3. Step 3: Cross multiply
    119,930x = 165,517.98 × 69,629
  4. Step 4: Simplify right side
    119,930x = 11,524,851,429.42
  5. Step 5: Solve for x
    x = 11,524,851,429.42/119,930
  6. Step 6: Final answer
    x = 96,096.48

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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.