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Finding the Fourth Proportional to 71,604.30, 98,791.70 and 41,378.61

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Solution

The fourth proportional to 71,604.30, 98,791.70 and 41,378.61 is: 57,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,604.30 : 98,791.70 = 41,378.61 : x
  2. Step 2: Convert to fraction form
    71,604.30/98,791.70 = 41,378.61/x
  3. Step 3: Cross multiply
    71,604.30x = 98,791.70 × 41,378.61
  4. Step 4: Simplify right side
    71,604.30x = 4,087,863,018.64
  5. Step 5: Solve for x
    x = 4,087,863,018.64/71,604.30
  6. Step 6: Final answer
    x = 57,089.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.