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Finding the Fourth Proportional to 220,698, 331,048.08 and 54,486

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Solution

The fourth proportional to 220,698, 331,048.08 and 54,486 is: 81,729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,698 : 331,048.08 = 54,486 : x
  2. Step 2: Convert to fraction form
    220,698/331,048.08 = 54,486/x
  3. Step 3: Cross multiply
    220,698x = 331,048.08 × 54,486
  4. Step 4: Simplify right side
    220,698x = 18,037,485,686.88
  5. Step 5: Solve for x
    x = 18,037,485,686.88/220,698
  6. Step 6: Final answer
    x = 81,729.27

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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.