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Finding the Fourth Proportional to 81,193.98, 121,806.10 and 28,636.86

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Solution

The fourth proportional to 81,193.98, 121,806.10 and 28,636.86 is: 42,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,193.98 : 121,806.10 = 28,636.86 : x
  2. Step 2: Convert to fraction form
    81,193.98/121,806.10 = 28,636.86/x
  3. Step 3: Cross multiply
    81,193.98x = 121,806.10 × 28,636.86
  4. Step 4: Simplify right side
    81,193.98x = 3,488,144,232.85
  5. Step 5: Solve for x
    x = 3,488,144,232.85/81,193.98
  6. Step 6: Final answer
    x = 42,960.63

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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.