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Finding the Fourth Proportional to 272,097.20, 407,951.40 and 122,214.80

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Solution

The fourth proportional to 272,097.20, 407,951.40 and 122,214.80 is: 183,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,097.20 : 407,951.40 = 122,214.80 : x
  2. Step 2: Convert to fraction form
    272,097.20/407,951.40 = 122,214.80/x
  3. Step 3: Cross multiply
    272,097.20x = 407,951.40 × 122,214.80
  4. Step 4: Simplify right side
    272,097.20x = 49,857,698,760.72
  5. Step 5: Solve for x
    x = 49,857,698,760.72/272,097.20
  6. Step 6: Final answer
    x = 183,234.88

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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.