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Finding the Fourth Proportional to 213,647.10, 320,660.82 and 113,889.66

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Solution

The fourth proportional to 213,647.10, 320,660.82 and 113,889.66 is: 170,935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,647.10 : 320,660.82 = 113,889.66 : x
  2. Step 2: Convert to fraction form
    213,647.10/320,660.82 = 113,889.66/x
  3. Step 3: Cross multiply
    213,647.10x = 320,660.82 × 113,889.66
  4. Step 4: Simplify right side
    213,647.10x = 36,519,951,765.12
  5. Step 5: Solve for x
    x = 36,519,951,765.12/213,647.10
  6. Step 6: Final answer
    x = 170,935.86

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1.5x scale

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.