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Finding the Fourth Proportional to 84,589.98, 126,871.20 and 31,986.96

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Solution

The fourth proportional to 84,589.98, 126,871.20 and 31,986.96 is: 47,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,589.98 : 126,871.20 = 31,986.96 : x
  2. Step 2: Convert to fraction form
    84,589.98/126,871.20 = 31,986.96/x
  3. Step 3: Cross multiply
    84,589.98x = 126,871.20 × 31,986.96
  4. Step 4: Simplify right side
    84,589.98x = 4,058,223,999.55
  5. Step 5: Solve for x
    x = 4,058,223,999.55/84,589.98
  6. Step 6: Final answer
    x = 47,975.23

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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.