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Finding the Fourth Proportional to 20,143.99, 30,219.07 and 10,277.90

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Solution

The fourth proportional to 20,143.99, 30,219.07 and 10,277.90 is: 15,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.99 : 30,219.07 = 10,277.90 : x
  2. Step 2: Convert to fraction form
    20,143.99/30,219.07 = 10,277.90/x
  3. Step 3: Cross multiply
    20,143.99x = 30,219.07 × 10,277.90
  4. Step 4: Simplify right side
    20,143.99x = 310,588,579.55
  5. Step 5: Solve for x
    x = 310,588,579.55/20,143.99
  6. Step 6: Final answer
    x = 15,418.42

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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.