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Finding the Fourth Proportional to 81,177.52, 121,751.68 and 36,796

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Solution

The fourth proportional to 81,177.52, 121,751.68 and 36,796 is: 55,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,177.52 : 121,751.68 = 36,796 : x
  2. Step 2: Convert to fraction form
    81,177.52/121,751.68 = 36,796/x
  3. Step 3: Cross multiply
    81,177.52x = 121,751.68 × 36,796
  4. Step 4: Simplify right side
    81,177.52x = 4,479,974,817.28
  5. Step 5: Solve for x
    x = 4,479,974,817.28/81,177.52
  6. Step 6: Final answer
    x = 55,187.38

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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.