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Finding the Fourth Proportional to 120,862.28, 166,792.92 and 66,414

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Solution

The fourth proportional to 120,862.28, 166,792.92 and 66,414 is: 91,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,862.28 : 166,792.92 = 66,414 : x
  2. Step 2: Convert to fraction form
    120,862.28/166,792.92 = 66,414/x
  3. Step 3: Cross multiply
    120,862.28x = 166,792.92 × 66,414
  4. Step 4: Simplify right side
    120,862.28x = 11,077,384,988.88
  5. Step 5: Solve for x
    x = 11,077,384,988.88/120,862.28
  6. Step 6: Final answer
    x = 91,652.96

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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.