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Finding the Fourth Proportional to 82,015.40, 123,023.10 and 81,324.20

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Solution

The fourth proportional to 82,015.40, 123,023.10 and 81,324.20 is: 121,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,015.40 : 123,023.10 = 81,324.20 : x
  2. Step 2: Convert to fraction form
    82,015.40/123,023.10 = 81,324.20/x
  3. Step 3: Cross multiply
    82,015.40x = 123,023.10 × 81,324.20
  4. Step 4: Simplify right side
    82,015.40x = 10,004,755,189.02
  5. Step 5: Solve for x
    x = 10,004,755,189.02/82,015.40
  6. Step 6: Final answer
    x = 121,986.30

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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.