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Finding the Fourth Proportional to 84,039, 126,058.50 and 31,473.24

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Solution

The fourth proportional to 84,039, 126,058.50 and 31,473.24 is: 47,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,039 : 126,058.50 = 31,473.24 : x
  2. Step 2: Convert to fraction form
    84,039/126,058.50 = 31,473.24/x
  3. Step 3: Cross multiply
    84,039x = 126,058.50 × 31,473.24
  4. Step 4: Simplify right side
    84,039x = 3,967,469,424.54
  5. Step 5: Solve for x
    x = 3,967,469,424.54/84,039
  6. Step 6: Final answer
    x = 47,209.86

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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.