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Finding the Fourth Proportional to 275,903.97, 413,851.86 and 76,219.95

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Solution

The fourth proportional to 275,903.97, 413,851.86 and 76,219.95 is: 114,328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,903.97 : 413,851.86 = 76,219.95 : x
  2. Step 2: Convert to fraction form
    275,903.97/413,851.86 = 76,219.95/x
  3. Step 3: Cross multiply
    275,903.97x = 413,851.86 × 76,219.95
  4. Step 4: Simplify right side
    275,903.97x = 31,543,768,076.61
  5. Step 5: Solve for x
    x = 31,543,768,076.61/275,903.97
  6. Step 6: Final answer
    x = 114,328.79

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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.