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Finding the Fourth Proportional to 121,639.80, 182,022.30 and 82,273.80

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Solution

The fourth proportional to 121,639.80, 182,022.30 and 82,273.80 is: 123,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,639.80 : 182,022.30 = 82,273.80 : x
  2. Step 2: Convert to fraction form
    121,639.80/182,022.30 = 82,273.80/x
  3. Step 3: Cross multiply
    121,639.80x = 182,022.30 × 82,273.80
  4. Step 4: Simplify right side
    121,639.80x = 14,975,666,305.74
  5. Step 5: Solve for x
    x = 14,975,666,305.74/121,639.80
  6. Step 6: Final answer
    x = 123,114.85

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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.