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Finding the Fourth Proportional to 220,695, 304,559.10 and 120,093.72

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Solution

The fourth proportional to 220,695, 304,559.10 and 120,093.72 is: 165,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,695 : 304,559.10 = 120,093.72 : x
  2. Step 2: Convert to fraction form
    220,695/304,559.10 = 120,093.72/x
  3. Step 3: Cross multiply
    220,695x = 304,559.10 × 120,093.72
  4. Step 4: Simplify right side
    220,695x = 36,575,635,278.85
  5. Step 5: Solve for x
    x = 36,575,635,278.85/220,695
  6. Step 6: Final answer
    x = 165,729.33

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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.