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Finding the Fourth Proportional to 120,642.21, 166,493.73 and 69,664.15

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Solution

The fourth proportional to 120,642.21, 166,493.73 and 69,664.15 is: 96,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,642.21 : 166,493.73 = 69,664.15 : x
  2. Step 2: Convert to fraction form
    120,642.21/166,493.73 = 69,664.15/x
  3. Step 3: Cross multiply
    120,642.21x = 166,493.73 × 69,664.15
  4. Step 4: Simplify right side
    120,642.21x = 11,598,644,258.28
  5. Step 5: Solve for x
    x = 11,598,644,258.28/120,642.21
  6. Step 6: Final answer
    x = 96,140.85

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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.