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Finding the Fourth Proportional to 100,466.30, 138,650.42 and 66,415.73

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Solution

The fourth proportional to 100,466.30, 138,650.42 and 66,415.73 is: 91,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,466.30 : 138,650.42 = 66,415.73 : x
  2. Step 2: Convert to fraction form
    100,466.30/138,650.42 = 66,415.73/x
  3. Step 3: Cross multiply
    100,466.30x = 138,650.42 × 66,415.73
  4. Step 4: Simplify right side
    100,466.30x = 9,208,568,527.03
  5. Step 5: Solve for x
    x = 9,208,568,527.03/100,466.30
  6. Step 6: Final answer
    x = 91,658.29

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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.