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Finding the Fourth Proportional to 82,163.70, 123,245.55 and 40,691.70

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Solution

The fourth proportional to 82,163.70, 123,245.55 and 40,691.70 is: 61,037.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,163.70 : 123,245.55 = 40,691.70 : x
  2. Step 2: Convert to fraction form
    82,163.70/123,245.55 = 40,691.70/x
  3. Step 3: Cross multiply
    82,163.70x = 123,245.55 × 40,691.70
  4. Step 4: Simplify right side
    82,163.70x = 5,015,070,946.94
  5. Step 5: Solve for x
    x = 5,015,070,946.94/82,163.70
  6. Step 6: Final answer
    x = 61,037.55

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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.