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Finding the Fourth Proportional to 120,369.50, 180,553.80 and 36,129.29

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Solution

The fourth proportional to 120,369.50, 180,553.80 and 36,129.29 is: 54,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,369.50 : 180,553.80 = 36,129.29 : x
  2. Step 2: Convert to fraction form
    120,369.50/180,553.80 = 36,129.29/x
  3. Step 3: Cross multiply
    120,369.50x = 180,553.80 × 36,129.29
  4. Step 4: Simplify right side
    120,369.50x = 6,523,281,052.19
  5. Step 5: Solve for x
    x = 6,523,281,052.19/120,369.50
  6. Step 6: Final answer
    x = 54,193.81

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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.