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Finding the Fourth Proportional to 119,914.73, 165,482.36 and 66,199.78

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Solution

The fourth proportional to 119,914.73, 165,482.36 and 66,199.78 is: 91,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,914.73 : 165,482.36 = 66,199.78 : x
  2. Step 2: Convert to fraction form
    119,914.73/165,482.36 = 66,199.78/x
  3. Step 3: Cross multiply
    119,914.73x = 165,482.36 × 66,199.78
  4. Step 4: Simplify right side
    119,914.73x = 10,954,895,825.88
  5. Step 5: Solve for x
    x = 10,954,895,825.88/119,914.73
  6. Step 6: Final answer
    x = 91,355.71

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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.