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Finding the Fourth Proportional to 220,704.75, 304,573.77 and 120,102.75

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Solution

The fourth proportional to 220,704.75, 304,573.77 and 120,102.75 is: 165,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,704.75 : 304,573.77 = 120,102.75 : x
  2. Step 2: Convert to fraction form
    220,704.75/304,573.77 = 120,102.75/x
  3. Step 3: Cross multiply
    220,704.75x = 304,573.77 × 120,102.75
  4. Step 4: Simplify right side
    220,704.75x = 36,580,147,354.87
  5. Step 5: Solve for x
    x = 36,580,147,354.87/220,704.75
  6. Step 6: Final answer
    x = 165,742.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.