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Finding the Fourth Proportional to 150,000.54, 206,992.26 and 82,004.90

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Solution

The fourth proportional to 150,000.54, 206,992.26 and 82,004.90 is: 113,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,000.54 : 206,992.26 = 82,004.90 : x
  2. Step 2: Convert to fraction form
    150,000.54/206,992.26 = 82,004.90/x
  3. Step 3: Cross multiply
    150,000.54x = 206,992.26 × 82,004.90
  4. Step 4: Simplify right side
    150,000.54x = 16,974,378,547.11
  5. Step 5: Solve for x
    x = 16,974,378,547.11/150,000.54
  6. Step 6: Final answer
    x = 113,162.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.