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Finding the Fourth Proportional to 75,512.50, 104,207.61 and 41,978.50

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Solution

The fourth proportional to 75,512.50, 104,207.61 and 41,978.50 is: 57,930.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,512.50 : 104,207.61 = 41,978.50 : x
  2. Step 2: Convert to fraction form
    75,512.50/104,207.61 = 41,978.50/x
  3. Step 3: Cross multiply
    75,512.50x = 104,207.61 × 41,978.50
  4. Step 4: Simplify right side
    75,512.50x = 4,374,479,156.39
  5. Step 5: Solve for x
    x = 4,374,479,156.39/75,512.50
  6. Step 6: Final answer
    x = 57,930.53

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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.