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Finding the Fourth Proportional to 120,989.68, 166,965.92 and 67,274.16

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Solution

The fourth proportional to 120,989.68, 166,965.92 and 67,274.16 is: 92,838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,989.68 : 166,965.92 = 67,274.16 : x
  2. Step 2: Convert to fraction form
    120,989.68/166,965.92 = 67,274.16/x
  3. Step 3: Cross multiply
    120,989.68x = 166,965.92 × 67,274.16
  4. Step 4: Simplify right side
    120,989.68x = 11,232,492,016.63
  5. Step 5: Solve for x
    x = 11,232,492,016.63/120,989.68
  6. Step 6: Final answer
    x = 92,838.43

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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.