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Finding the Fourth Proportional to 213,634, 320,505.72 and 80,515.36

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Solution

The fourth proportional to 213,634, 320,505.72 and 80,515.36 is: 120,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,634 : 320,505.72 = 80,515.36 : x
  2. Step 2: Convert to fraction form
    213,634/320,505.72 = 80,515.36/x
  3. Step 3: Cross multiply
    213,634x = 320,505.72 × 80,515.36
  4. Step 4: Simplify right side
    213,634x = 25,805,633,427.86
  5. Step 5: Solve for x
    x = 25,805,633,427.86/213,634
  6. Step 6: Final answer
    x = 120,793.66

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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.