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Finding the Fourth Proportional to 82,511.63, 123,785.42 and 46,989.75

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Solution

The fourth proportional to 82,511.63, 123,785.42 and 46,989.75 is: 70,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,511.63 : 123,785.42 = 46,989.75 : x
  2. Step 2: Convert to fraction form
    82,511.63/123,785.42 = 46,989.75/x
  3. Step 3: Cross multiply
    82,511.63x = 123,785.42 × 46,989.75
  4. Step 4: Simplify right side
    82,511.63x = 5,816,645,939.45
  5. Step 5: Solve for x
    x = 5,816,645,939.45/82,511.63
  6. Step 6: Final answer
    x = 70,494.86

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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.