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Finding the Fourth Proportional to 275,876.42, 413,806.37 and 76,208.76

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Solution

The fourth proportional to 275,876.42, 413,806.37 and 76,208.76 is: 114,310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,876.42 : 413,806.37 = 76,208.76 : x
  2. Step 2: Convert to fraction form
    275,876.42/413,806.37 = 76,208.76/x
  3. Step 3: Cross multiply
    275,876.42x = 413,806.37 × 76,208.76
  4. Step 4: Simplify right side
    275,876.42x = 31,535,669,956.76
  5. Step 5: Solve for x
    x = 31,535,669,956.76/275,876.42
  6. Step 6: Final answer
    x = 114,310.86

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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.