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Finding the Fourth Proportional to 120,509.33, 180,763.07 and 36,269.12

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Solution

The fourth proportional to 120,509.33, 180,763.07 and 36,269.12 is: 54,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,509.33 : 180,763.07 = 36,269.12 : x
  2. Step 2: Convert to fraction form
    120,509.33/180,763.07 = 36,269.12/x
  3. Step 3: Cross multiply
    120,509.33x = 180,763.07 × 36,269.12
  4. Step 4: Simplify right side
    120,509.33x = 6,556,117,747.96
  5. Step 5: Solve for x
    x = 6,556,117,747.96/120,509.33
  6. Step 6: Final answer
    x = 54,403.41

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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.