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Finding the Fourth Proportional to 100,821.60, 138,958 and 73,906.88

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Solution

The fourth proportional to 100,821.60, 138,958 and 73,906.88 is: 101,862.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,821.60 : 138,958 = 73,906.88 : x
  2. Step 2: Convert to fraction form
    100,821.60/138,958 = 73,906.88/x
  3. Step 3: Cross multiply
    100,821.60x = 138,958 × 73,906.88
  4. Step 4: Simplify right side
    100,821.60x = 10,269,952,231.04
  5. Step 5: Solve for x
    x = 10,269,952,231.04/100,821.60
  6. Step 6: Final answer
    x = 101,862.62

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1.5x scale

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.