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Finding the Fourth Proportional to 119,930.56, 165,503.10 and 66,214.42

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Solution

The fourth proportional to 119,930.56, 165,503.10 and 66,214.42 is: 91,375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,930.56 : 165,503.10 = 66,214.42 : x
  2. Step 2: Convert to fraction form
    119,930.56/165,503.10 = 66,214.42/x
  3. Step 3: Cross multiply
    119,930.56x = 165,503.10 × 66,214.42
  4. Step 4: Simplify right side
    119,930.56x = 10,958,691,774.70
  5. Step 5: Solve for x
    x = 10,958,691,774.70/119,930.56
  6. Step 6: Final answer
    x = 91,375.31

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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.