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Finding the Fourth Proportional to 120,078.10, 180,120.80 and 41,191.19

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Solution

The fourth proportional to 120,078.10, 180,120.80 and 41,191.19 is: 61,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,078.10 : 180,120.80 = 41,191.19 : x
  2. Step 2: Convert to fraction form
    120,078.10/180,120.80 = 41,191.19/x
  3. Step 3: Cross multiply
    120,078.10x = 180,120.80 × 41,191.19
  4. Step 4: Simplify right side
    120,078.10x = 7,419,390,095.75
  5. Step 5: Solve for x
    x = 7,419,390,095.75/120,078.10
  6. Step 6: Final answer
    x = 61,788.04

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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.