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Finding the Fourth Proportional to 213,603.12, 320,449.86 and 80,480.52

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Solution

The fourth proportional to 213,603.12, 320,449.86 and 80,480.52 is: 120,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,603.12 : 320,449.86 = 80,480.52 : x
  2. Step 2: Convert to fraction form
    213,603.12/320,449.86 = 80,480.52/x
  3. Step 3: Cross multiply
    213,603.12x = 320,449.86 × 80,480.52
  4. Step 4: Simplify right side
    213,603.12x = 25,789,971,366.73
  5. Step 5: Solve for x
    x = 25,789,971,366.73/213,603.12
  6. Step 6: Final answer
    x = 120,737.80

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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.