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Finding the Fourth Proportional to 120,566, 166,383.08 and 66,853.28

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Solution

The fourth proportional to 120,566, 166,383.08 and 66,853.28 is: 92,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,566 : 166,383.08 = 66,853.28 : x
  2. Step 2: Convert to fraction form
    120,566/166,383.08 = 66,853.28/x
  3. Step 3: Cross multiply
    120,566x = 166,383.08 × 66,853.28
  4. Step 4: Simplify right side
    120,566x = 11,123,254,634.50
  5. Step 5: Solve for x
    x = 11,123,254,634.50/120,566
  6. Step 6: Final answer
    x = 92,258.64

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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.