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Finding the Fourth Proportional to 81,023.88, 121,578.50 and 41,581

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Solution

The fourth proportional to 81,023.88, 121,578.50 and 41,581 is: 62,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,023.88 : 121,578.50 = 41,581 : x
  2. Step 2: Convert to fraction form
    81,023.88/121,578.50 = 41,581/x
  3. Step 3: Cross multiply
    81,023.88x = 121,578.50 × 41,581
  4. Step 4: Simplify right side
    81,023.88x = 5,055,355,608.50
  5. Step 5: Solve for x
    x = 5,055,355,608.50/81,023.88
  6. Step 6: Final answer
    x = 62,393.40

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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.