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Finding the Fourth Proportional to 20,142.70, 30,199.65 and 9,040.30

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Solution

The fourth proportional to 20,142.70, 30,199.65 and 9,040.30 is: 13,553.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.70 : 30,199.65 = 9,040.30 : x
  2. Step 2: Convert to fraction form
    20,142.70/30,199.65 = 9,040.30/x
  3. Step 3: Cross multiply
    20,142.70x = 30,199.65 × 9,040.30
  4. Step 4: Simplify right side
    20,142.70x = 273,013,895.90
  5. Step 5: Solve for x
    x = 273,013,895.90/20,142.70
  6. Step 6: Final answer
    x = 13,553.99

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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.