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Finding the Fourth Proportional to 213,520.68, 320,294.21 and 71,378.73

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Solution

The fourth proportional to 213,520.68, 320,294.21 and 71,378.73 is: 107,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,520.68 : 320,294.21 = 71,378.73 : x
  2. Step 2: Convert to fraction form
    213,520.68/320,294.21 = 71,378.73/x
  3. Step 3: Cross multiply
    213,520.68x = 320,294.21 × 71,378.73
  4. Step 4: Simplify right side
    213,520.68x = 22,862,193,579.26
  5. Step 5: Solve for x
    x = 22,862,193,579.26/213,520.68
  6. Step 6: Final answer
    x = 107,072.50

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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.