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Finding the Fourth Proportional to 120,407.69, 180,620.19 and 41,520.78

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Solution

The fourth proportional to 120,407.69, 180,620.19 and 41,520.78 is: 62,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,407.69 : 180,620.19 = 41,520.78 : x
  2. Step 2: Convert to fraction form
    120,407.69/180,620.19 = 41,520.78/x
  3. Step 3: Cross multiply
    120,407.69x = 180,620.19 × 41,520.78
  4. Step 4: Simplify right side
    120,407.69x = 7,499,490,269.45
  5. Step 5: Solve for x
    x = 7,499,490,269.45/120,407.69
  6. Step 6: Final answer
    x = 62,284.15

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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.