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Finding the Fourth Proportional to 213,670.53, 320,279.81 and 80,493.21

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Solution

The fourth proportional to 213,670.53, 320,279.81 and 80,493.21 is: 120,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,670.53 : 320,279.81 = 80,493.21 : x
  2. Step 2: Convert to fraction form
    213,670.53/320,279.81 = 80,493.21/x
  3. Step 3: Cross multiply
    213,670.53x = 320,279.81 × 80,493.21
  4. Step 4: Simplify right side
    213,670.53x = 25,780,349,602.62
  5. Step 5: Solve for x
    x = 25,780,349,602.62/213,670.53
  6. Step 6: Final answer
    x = 120,654.68

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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.