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Finding the Fourth Proportional to 218,820.36, 328,229.82 and 71,076.36

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Solution

The fourth proportional to 218,820.36, 328,229.82 and 71,076.36 is: 106,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,820.36 : 328,229.82 = 71,076.36 : x
  2. Step 2: Convert to fraction form
    218,820.36/328,229.82 = 71,076.36/x
  3. Step 3: Cross multiply
    218,820.36x = 328,229.82 × 71,076.36
  4. Step 4: Simplify right side
    218,820.36x = 23,329,380,849.06
  5. Step 5: Solve for x
    x = 23,329,380,849.06/218,820.36
  6. Step 6: Final answer
    x = 106,614.31

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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.