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Finding the Fourth Proportional to 100,147.92, 138,203.46 and 54,825

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Solution

The fourth proportional to 100,147.92, 138,203.46 and 54,825 is: 75,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,147.92 : 138,203.46 = 54,825 : x
  2. Step 2: Convert to fraction form
    100,147.92/138,203.46 = 54,825/x
  3. Step 3: Cross multiply
    100,147.92x = 138,203.46 × 54,825
  4. Step 4: Simplify right side
    100,147.92x = 7,577,004,694.50
  5. Step 5: Solve for x
    x = 7,577,004,694.50/100,147.92
  6. Step 6: Final answer
    x = 75,658.13

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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.