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Finding the Fourth Proportional to 84,209.37, 126,313.56 and 21,029.37

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Solution

The fourth proportional to 84,209.37, 126,313.56 and 21,029.37 is: 31,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,209.37 : 126,313.56 = 21,029.37 : x
  2. Step 2: Convert to fraction form
    84,209.37/126,313.56 = 21,029.37/x
  3. Step 3: Cross multiply
    84,209.37x = 126,313.56 × 21,029.37
  4. Step 4: Simplify right side
    84,209.37x = 2,656,294,589.26
  5. Step 5: Solve for x
    x = 2,656,294,589.26/84,209.37
  6. Step 6: Final answer
    x = 31,543.93

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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.