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Finding the Fourth Proportional to 120,616.11, 180,918.93 and 40,648.80

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Solution

The fourth proportional to 120,616.11, 180,918.93 and 40,648.80 is: 60,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,616.11 : 180,918.93 = 40,648.80 : x
  2. Step 2: Convert to fraction form
    120,616.11/180,918.93 = 40,648.80/x
  3. Step 3: Cross multiply
    120,616.11x = 180,918.93 × 40,648.80
  4. Step 4: Simplify right side
    120,616.11x = 7,354,137,401.78
  5. Step 5: Solve for x
    x = 7,354,137,401.78/120,616.11
  6. Step 6: Final answer
    x = 60,971.44

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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.