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Finding the Fourth Proportional to 84,113.98, 126,191.22 and 31,523.92

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Solution

The fourth proportional to 84,113.98, 126,191.22 and 31,523.92 is: 47,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,113.98 : 126,191.22 = 31,523.92 : x
  2. Step 2: Convert to fraction form
    84,113.98/126,191.22 = 31,523.92/x
  3. Step 3: Cross multiply
    84,113.98x = 126,191.22 × 31,523.92
  4. Step 4: Simplify right side
    84,113.98x = 3,978,041,923.98
  5. Step 5: Solve for x
    x = 3,978,041,923.98/84,113.98
  6. Step 6: Final answer
    x = 47,293.47

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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.