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Finding the Fourth Proportional to 81,712.88, 122,584.78 and 28,402.86

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Solution

The fourth proportional to 81,712.88, 122,584.78 and 28,402.86 is: 42,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,712.88 : 122,584.78 = 28,402.86 : x
  2. Step 2: Convert to fraction form
    81,712.88/122,584.78 = 28,402.86/x
  3. Step 3: Cross multiply
    81,712.88x = 122,584.78 × 28,402.86
  4. Step 4: Simplify right side
    81,712.88x = 3,481,758,344.47
  5. Step 5: Solve for x
    x = 3,481,758,344.47/81,712.88
  6. Step 6: Final answer
    x = 42,609.66

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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.