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Finding the Fourth Proportional to 20,042.12, 30,048 and 12,143

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Solution

The fourth proportional to 20,042.12, 30,048 and 12,143 is: 18,205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042.12 : 30,048 = 12,143 : x
  2. Step 2: Convert to fraction form
    20,042.12/30,048 = 12,143/x
  3. Step 3: Cross multiply
    20,042.12x = 30,048 × 12,143
  4. Step 4: Simplify right side
    20,042.12x = 364,872,864
  5. Step 5: Solve for x
    x = 364,872,864/20,042.12
  6. Step 6: Final answer
    x = 18,205.30

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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.