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Finding the Fourth Proportional to 84,426, 126,682.74 and 42,873

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Solution

The fourth proportional to 84,426, 126,682.74 and 42,873 is: 64,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,426 : 126,682.74 = 42,873 : x
  2. Step 2: Convert to fraction form
    84,426/126,682.74 = 42,873/x
  3. Step 3: Cross multiply
    84,426x = 126,682.74 × 42,873
  4. Step 4: Simplify right side
    84,426x = 5,431,269,112.02
  5. Step 5: Solve for x
    x = 5,431,269,112.02/84,426
  6. Step 6: Final answer
    x = 64,331.71

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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.