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Finding the Fourth Proportional to 100,173.56, 138,092.28 and 76,258.64

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Solution

The fourth proportional to 100,173.56, 138,092.28 and 76,258.64 is: 105,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,173.56 : 138,092.28 = 76,258.64 : x
  2. Step 2: Convert to fraction form
    100,173.56/138,092.28 = 76,258.64/x
  3. Step 3: Cross multiply
    100,173.56x = 138,092.28 × 76,258.64
  4. Step 4: Simplify right side
    100,173.56x = 10,530,729,467.30
  5. Step 5: Solve for x
    x = 10,530,729,467.30/100,173.56
  6. Step 6: Final answer
    x = 105,124.84

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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.