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Finding the Fourth Proportional to 75,511.75, 104,203.55 and 41,520

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Solution

The fourth proportional to 75,511.75, 104,203.55 and 41,520 is: 57,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,511.75 : 104,203.55 = 41,520 : x
  2. Step 2: Convert to fraction form
    75,511.75/104,203.55 = 41,520/x
  3. Step 3: Cross multiply
    75,511.75x = 104,203.55 × 41,520
  4. Step 4: Simplify right side
    75,511.75x = 4,326,531,292.20
  5. Step 5: Solve for x
    x = 4,326,531,292.20/75,511.75
  6. Step 6: Final answer
    x = 57,296.13

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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.