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Finding the Fourth Proportional to 121,866.96, 182,591.34 and 109,540.92

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Solution

The fourth proportional to 121,866.96, 182,591.34 and 109,540.92 is: 164,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,866.96 : 182,591.34 = 109,540.92 : x
  2. Step 2: Convert to fraction form
    121,866.96/182,591.34 = 109,540.92/x
  3. Step 3: Cross multiply
    121,866.96x = 182,591.34 × 109,540.92
  4. Step 4: Simplify right side
    121,866.96x = 20,001,223,367.63
  5. Step 5: Solve for x
    x = 20,001,223,367.63/121,866.96
  6. Step 6: Final answer
    x = 164,123.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.