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Finding the Fourth Proportional to 129,770.72, 194,630 and 36,277.28

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Solution

The fourth proportional to 129,770.72, 194,630 and 36,277.28 is: 54,408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,770.72 : 194,630 = 36,277.28 : x
  2. Step 2: Convert to fraction form
    129,770.72/194,630 = 36,277.28/x
  3. Step 3: Cross multiply
    129,770.72x = 194,630 × 36,277.28
  4. Step 4: Simplify right side
    129,770.72x = 7,060,647,006.40
  5. Step 5: Solve for x
    x = 7,060,647,006.40/129,770.72
  6. Step 6: Final answer
    x = 54,408.63

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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.