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Finding the Fourth Proportional to 213,519.96, 320,171.00 and 71,314.02

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Solution

The fourth proportional to 213,519.96, 320,171.00 and 71,314.02 is: 106,934.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,519.96 : 320,171.00 = 71,314.02 : x
  2. Step 2: Convert to fraction form
    213,519.96/320,171.00 = 71,314.02/x
  3. Step 3: Cross multiply
    213,519.96x = 320,171.00 × 71,314.02
  4. Step 4: Simplify right side
    213,519.96x = 22,832,680,740.85
  5. Step 5: Solve for x
    x = 22,832,680,740.85/213,519.96
  6. Step 6: Final answer
    x = 106,934.64

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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.