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Finding the Fourth Proportional to 218,086.88, 326,996.34 and 84,811.76

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Solution

The fourth proportional to 218,086.88, 326,996.34 and 84,811.76 is: 127,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,086.88 : 326,996.34 = 84,811.76 : x
  2. Step 2: Convert to fraction form
    218,086.88/326,996.34 = 84,811.76/x
  3. Step 3: Cross multiply
    218,086.88x = 326,996.34 × 84,811.76
  4. Step 4: Simplify right side
    218,086.88x = 27,733,134,859.24
  5. Step 5: Solve for x
    x = 27,733,134,859.24/218,086.88
  6. Step 6: Final answer
    x = 127,165.54

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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.