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Finding the Fourth Proportional to 213,449.83, 320,185.00 and 63,701.84

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Solution

The fourth proportional to 213,449.83, 320,185.00 and 63,701.84 is: 95,555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,449.83 : 320,185.00 = 63,701.84 : x
  2. Step 2: Convert to fraction form
    213,449.83/320,185.00 = 63,701.84/x
  3. Step 3: Cross multiply
    213,449.83x = 320,185.00 × 63,701.84
  4. Step 4: Simplify right side
    213,449.83x = 20,396,374,520.49
  5. Step 5: Solve for x
    x = 20,396,374,520.49/213,449.83
  6. Step 6: Final answer
    x = 95,555.82

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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.