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Finding the Fourth Proportional to 213,631.80, 320,466 and 55,860

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Solution

The fourth proportional to 213,631.80, 320,466 and 55,860 is: 83,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,631.80 : 320,466 = 55,860 : x
  2. Step 2: Convert to fraction form
    213,631.80/320,466 = 55,860/x
  3. Step 3: Cross multiply
    213,631.80x = 320,466 × 55,860
  4. Step 4: Simplify right side
    213,631.80x = 17,901,230,760
  5. Step 5: Solve for x
    x = 17,901,230,760/213,631.80
  6. Step 6: Final answer
    x = 83,794.79

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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.