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Finding the Fourth Proportional to 82,677.65, 123,947.01 and 38,336.22

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Solution

The fourth proportional to 82,677.65, 123,947.01 and 38,336.22 is: 57,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,677.65 : 123,947.01 = 38,336.22 : x
  2. Step 2: Convert to fraction form
    82,677.65/123,947.01 = 38,336.22/x
  3. Step 3: Cross multiply
    82,677.65x = 123,947.01 × 38,336.22
  4. Step 4: Simplify right side
    82,677.65x = 4,751,659,843.70
  5. Step 5: Solve for x
    x = 4,751,659,843.70/82,677.65
  6. Step 6: Final answer
    x = 57,472.12

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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.