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Finding the Fourth Proportional to 229,980.69, 344,845.85 and 80,180.71

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Solution

The fourth proportional to 229,980.69, 344,845.85 and 80,180.71 is: 120,227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,980.69 : 344,845.85 = 80,180.71 : x
  2. Step 2: Convert to fraction form
    229,980.69/344,845.85 = 80,180.71/x
  3. Step 3: Cross multiply
    229,980.69x = 344,845.85 × 80,180.71
  4. Step 4: Simplify right side
    229,980.69x = 27,649,983,830.54
  5. Step 5: Solve for x
    x = 27,649,983,830.54/229,980.69
  6. Step 6: Final answer
    x = 120,227.41

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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.