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Finding the Fourth Proportional to 120,694.40, 166,578.24 and 70,393.44

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Solution

The fourth proportional to 120,694.40, 166,578.24 and 70,393.44 is: 97,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,694.40 : 166,578.24 = 70,393.44 : x
  2. Step 2: Convert to fraction form
    120,694.40/166,578.24 = 70,393.44/x
  3. Step 3: Cross multiply
    120,694.40x = 166,578.24 × 70,393.44
  4. Step 4: Simplify right side
    120,694.40x = 11,726,015,342.75
  5. Step 5: Solve for x
    x = 11,726,015,342.75/120,694.40
  6. Step 6: Final answer
    x = 97,154.59

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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.