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Finding the Fourth Proportional to 120,505.70, 180,759.19 and 36,265.29

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Solution

The fourth proportional to 120,505.70, 180,759.19 and 36,265.29 is: 54,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,505.70 : 180,759.19 = 36,265.29 : x
  2. Step 2: Convert to fraction form
    120,505.70/180,759.19 = 36,265.29/x
  3. Step 3: Cross multiply
    120,505.70x = 180,759.19 × 36,265.29
  4. Step 4: Simplify right side
    120,505.70x = 6,555,283,541.72
  5. Step 5: Solve for x
    x = 6,555,283,541.72/120,505.70
  6. Step 6: Final answer
    x = 54,398.12

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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.