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Finding the Fourth Proportional to 101,563.80, 140,011.98 and 71,255.22

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Solution

The fourth proportional to 101,563.80, 140,011.98 and 71,255.22 is: 98,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,563.80 : 140,011.98 = 71,255.22 : x
  2. Step 2: Convert to fraction form
    101,563.80/140,011.98 = 71,255.22/x
  3. Step 3: Cross multiply
    101,563.80x = 140,011.98 × 71,255.22
  4. Step 4: Simplify right side
    101,563.80x = 9,976,584,437.54
  5. Step 5: Solve for x
    x = 9,976,584,437.54/101,563.80
  6. Step 6: Final answer
    x = 98,229.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.