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Finding the Fourth Proportional to 81,153.67, 121,731.85 and 36,780.80

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Solution

The fourth proportional to 81,153.67, 121,731.85 and 36,780.80 is: 55,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,153.67 : 121,731.85 = 36,780.80 : x
  2. Step 2: Convert to fraction form
    81,153.67/121,731.85 = 36,780.80/x
  3. Step 3: Cross multiply
    81,153.67x = 121,731.85 × 36,780.80
  4. Step 4: Simplify right side
    81,153.67x = 4,477,394,828.48
  5. Step 5: Solve for x
    x = 4,477,394,828.48/81,153.67
  6. Step 6: Final answer
    x = 55,171.81

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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.