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Finding the Fourth Proportional to 120,620.80, 180,782.40 and 87,454.72

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Solution

The fourth proportional to 120,620.80, 180,782.40 and 87,454.72 is: 131,074.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,620.80 : 180,782.40 = 87,454.72 : x
  2. Step 2: Convert to fraction form
    120,620.80/180,782.40 = 87,454.72/x
  3. Step 3: Cross multiply
    120,620.80x = 180,782.40 × 87,454.72
  4. Step 4: Simplify right side
    120,620.80x = 15,810,274,172.93
  5. Step 5: Solve for x
    x = 15,810,274,172.93/120,620.80
  6. Step 6: Final answer
    x = 131,074.19

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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.