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Finding the Fourth Proportional to 75,345, 103,980.97 and 41,811

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Solution

The fourth proportional to 75,345, 103,980.97 and 41,811 is: 57,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,345 : 103,980.97 = 41,811 : x
  2. Step 2: Convert to fraction form
    75,345/103,980.97 = 41,811/x
  3. Step 3: Cross multiply
    75,345x = 103,980.97 × 41,811
  4. Step 4: Simplify right side
    75,345x = 4,347,548,336.67
  5. Step 5: Solve for x
    x = 4,347,548,336.67/75,345
  6. Step 6: Final answer
    x = 57,701.88

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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.