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Finding the Fourth Proportional to 275,811.45, 413,708.94 and 76,144.02

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Solution

The fourth proportional to 275,811.45, 413,708.94 and 76,144.02 is: 114,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,811.45 : 413,708.94 = 76,144.02 : x
  2. Step 2: Convert to fraction form
    275,811.45/413,708.94 = 76,144.02/x
  3. Step 3: Cross multiply
    275,811.45x = 413,708.94 × 76,144.02
  4. Step 4: Simplify right side
    275,811.45x = 31,501,461,801.54
  5. Step 5: Solve for x
    x = 31,501,461,801.54/275,811.45
  6. Step 6: Final answer
    x = 114,213.76

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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.