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Finding the Fourth Proportional to 138,560.50, 190,952.21 and 100,255.19

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Solution

The fourth proportional to 138,560.50, 190,952.21 and 100,255.19 is: 138,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,560.50 : 190,952.21 = 100,255.19 : x
  2. Step 2: Convert to fraction form
    138,560.50/190,952.21 = 100,255.19/x
  3. Step 3: Cross multiply
    138,560.50x = 190,952.21 × 100,255.19
  4. Step 4: Simplify right side
    138,560.50x = 19,143,950,719.54
  5. Step 5: Solve for x
    x = 19,143,950,719.54/138,560.50
  6. Step 6: Final answer
    x = 138,163.12

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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.