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Finding the Fourth Proportional to 82,078.92, 123,118.36 and 19,749.42

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Solution

The fourth proportional to 82,078.92, 123,118.36 and 19,749.42 is: 29,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,078.92 : 123,118.36 = 19,749.42 : x
  2. Step 2: Convert to fraction form
    82,078.92/123,118.36 = 19,749.42/x
  3. Step 3: Cross multiply
    82,078.92x = 123,118.36 × 19,749.42
  4. Step 4: Simplify right side
    82,078.92x = 2,431,516,201.35
  5. Step 5: Solve for x
    x = 2,431,516,201.35/82,078.92
  6. Step 6: Final answer
    x = 29,624.13

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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.