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Finding the Fourth Proportional to 213,369.80, 320,102.36 and 80,251.20

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Solution

The fourth proportional to 213,369.80, 320,102.36 and 80,251.20 is: 120,394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,369.80 : 320,102.36 = 80,251.20 : x
  2. Step 2: Convert to fraction form
    213,369.80/320,102.36 = 80,251.20/x
  3. Step 3: Cross multiply
    213,369.80x = 320,102.36 × 80,251.20
  4. Step 4: Simplify right side
    213,369.80x = 25,688,598,111.58
  5. Step 5: Solve for x
    x = 25,688,598,111.58/213,369.80
  6. Step 6: Final answer
    x = 120,394.73

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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.