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Finding the Fourth Proportional to 272,039.80, 408,059.70 and 161,447.80

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Solution

The fourth proportional to 272,039.80, 408,059.70 and 161,447.80 is: 242,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,039.80 : 408,059.70 = 161,447.80 : x
  2. Step 2: Convert to fraction form
    272,039.80/408,059.70 = 161,447.80/x
  3. Step 3: Cross multiply
    272,039.80x = 408,059.70 × 161,447.80
  4. Step 4: Simplify right side
    272,039.80x = 65,880,340,833.66
  5. Step 5: Solve for x
    x = 65,880,340,833.66/272,039.80
  6. Step 6: Final answer
    x = 242,171.70

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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.