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Finding the Fourth Proportional to 20,161.30, 30,241.95 and 14,329.30

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Solution

The fourth proportional to 20,161.30, 30,241.95 and 14,329.30 is: 21,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161.30 : 30,241.95 = 14,329.30 : x
  2. Step 2: Convert to fraction form
    20,161.30/30,241.95 = 14,329.30/x
  3. Step 3: Cross multiply
    20,161.30x = 30,241.95 × 14,329.30
  4. Step 4: Simplify right side
    20,161.30x = 433,345,974.14
  5. Step 5: Solve for x
    x = 433,345,974.14/20,161.30
  6. Step 6: Final answer
    x = 21,493.95

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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.