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Finding the Fourth Proportional to 120,675, 166,551.36 and 66,977.30

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Solution

The fourth proportional to 120,675, 166,551.36 and 66,977.30 is: 92,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,675 : 166,551.36 = 66,977.30 : x
  2. Step 2: Convert to fraction form
    120,675/166,551.36 = 66,977.30/x
  3. Step 3: Cross multiply
    120,675x = 166,551.36 × 66,977.30
  4. Step 4: Simplify right side
    120,675x = 11,155,160,404.13
  5. Step 5: Solve for x
    x = 11,155,160,404.13/120,675
  6. Step 6: Final answer
    x = 92,439.70

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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.