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Finding the Fourth Proportional to 129,709, 194,311.74 and 85,200.70

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Solution

The fourth proportional to 129,709, 194,311.74 and 85,200.70 is: 127,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,709 : 194,311.74 = 85,200.70 : x
  2. Step 2: Convert to fraction form
    129,709/194,311.74 = 85,200.70/x
  3. Step 3: Cross multiply
    129,709x = 194,311.74 × 85,200.70
  4. Step 4: Simplify right side
    129,709x = 16,555,496,266.22
  5. Step 5: Solve for x
    x = 16,555,496,266.22/129,709
  6. Step 6: Final answer
    x = 127,635.68

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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.