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Finding the Fourth Proportional to 120,605.37, 180,922.02 and 45,781.41

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Solution

The fourth proportional to 120,605.37, 180,922.02 and 45,781.41 is: 68,677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,605.37 : 180,922.02 = 45,781.41 : x
  2. Step 2: Convert to fraction form
    120,605.37/180,922.02 = 45,781.41/x
  3. Step 3: Cross multiply
    120,605.37x = 180,922.02 × 45,781.41
  4. Step 4: Simplify right side
    120,605.37x = 8,282,865,175.65
  5. Step 5: Solve for x
    x = 8,282,865,175.65/120,605.37
  6. Step 6: Final answer
    x = 68,677.42

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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.