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Finding the Fourth Proportional to 213,281.60, 319,676.33 and 80,076.89

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Solution

The fourth proportional to 213,281.60, 319,676.33 and 80,076.89 is: 120,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,281.60 : 319,676.33 = 80,076.89 : x
  2. Step 2: Convert to fraction form
    213,281.60/319,676.33 = 80,076.89/x
  3. Step 3: Cross multiply
    213,281.60x = 319,676.33 × 80,076.89
  4. Step 4: Simplify right side
    213,281.60x = 25,598,685,912.63
  5. Step 5: Solve for x
    x = 25,598,685,912.63/213,281.60
  6. Step 6: Final answer
    x = 120,022.95

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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.