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Finding the Fourth Proportional to 100,258.75, 138,357.08 and 59,974.21

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Solution

The fourth proportional to 100,258.75, 138,357.08 and 59,974.21 is: 82,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,258.75 : 138,357.08 = 59,974.21 : x
  2. Step 2: Convert to fraction form
    100,258.75/138,357.08 = 59,974.21/x
  3. Step 3: Cross multiply
    100,258.75x = 138,357.08 × 59,974.21
  4. Step 4: Simplify right side
    100,258.75x = 8,297,856,570.91
  5. Step 5: Solve for x
    x = 8,297,856,570.91/100,258.75
  6. Step 6: Final answer
    x = 82,764.41

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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.