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Finding the Fourth Proportional to 120,606.62, 180,923.90 and 45,782.66

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Solution

The fourth proportional to 120,606.62, 180,923.90 and 45,782.66 is: 68,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,606.62 : 180,923.90 = 45,782.66 : x
  2. Step 2: Convert to fraction form
    120,606.62/180,923.90 = 45,782.66/x
  3. Step 3: Cross multiply
    120,606.62x = 180,923.90 × 45,782.66
  4. Step 4: Simplify right side
    120,606.62x = 8,283,177,622.97
  5. Step 5: Solve for x
    x = 8,283,177,622.97/120,606.62
  6. Step 6: Final answer
    x = 68,679.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.