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Finding the Fourth Proportional to 129,747, 194,619.34 and 41,000.52

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Solution

The fourth proportional to 129,747, 194,619.34 and 41,000.52 is: 61,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,747 : 194,619.34 = 41,000.52 : x
  2. Step 2: Convert to fraction form
    129,747/194,619.34 = 41,000.52/x
  3. Step 3: Cross multiply
    129,747x = 194,619.34 × 41,000.52
  4. Step 4: Simplify right side
    129,747x = 7,979,494,142.06
  5. Step 5: Solve for x
    x = 7,979,494,142.06/129,747
  6. Step 6: Final answer
    x = 61,500.41

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1.5x scale

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.