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Finding the Fourth Proportional to 82,039.86, 123,065.82 and 29,449.80

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Solution

The fourth proportional to 82,039.86, 123,065.82 and 29,449.80 is: 44,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,039.86 : 123,065.82 = 29,449.80 : x
  2. Step 2: Convert to fraction form
    82,039.86/123,065.82 = 29,449.80/x
  3. Step 3: Cross multiply
    82,039.86x = 123,065.82 × 29,449.80
  4. Step 4: Simplify right side
    82,039.86x = 3,624,263,785.84
  5. Step 5: Solve for x
    x = 3,624,263,785.84/82,039.86
  6. Step 6: Final answer
    x = 44,176.86

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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.