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Finding the Fourth Proportional to 119,909.97, 165,471.42 and 66,193.84

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Solution

The fourth proportional to 119,909.97, 165,471.42 and 66,193.84 is: 91,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,909.97 : 165,471.42 = 66,193.84 : x
  2. Step 2: Convert to fraction form
    119,909.97/165,471.42 = 66,193.84/x
  3. Step 3: Cross multiply
    119,909.97x = 165,471.42 × 66,193.84
  4. Step 4: Simplify right side
    119,909.97x = 10,953,187,872.70
  5. Step 5: Solve for x
    x = 10,953,187,872.70/119,909.97
  6. Step 6: Final answer
    x = 91,345.10

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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.