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Finding the Fourth Proportional to 120,578.84, 166,398.12 and 66,871.78

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Solution

The fourth proportional to 120,578.84, 166,398.12 and 66,871.78 is: 92,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,578.84 : 166,398.12 = 66,871.78 : x
  2. Step 2: Convert to fraction form
    120,578.84/166,398.12 = 66,871.78/x
  3. Step 3: Cross multiply
    120,578.84x = 166,398.12 × 66,871.78
  4. Step 4: Simplify right side
    120,578.84x = 11,127,338,473.05
  5. Step 5: Solve for x
    x = 11,127,338,473.05/120,578.84
  6. Step 6: Final answer
    x = 92,282.68

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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.