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Finding the Fourth Proportional to 209,243.92, 313,906.28 and 89,299.12

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Solution

The fourth proportional to 209,243.92, 313,906.28 and 89,299.12 is: 133,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,243.92 : 313,906.28 = 89,299.12 : x
  2. Step 2: Convert to fraction form
    209,243.92/313,906.28 = 89,299.12/x
  3. Step 3: Cross multiply
    209,243.92x = 313,906.28 × 89,299.12
  4. Step 4: Simplify right side
    209,243.92x = 28,031,555,182.10
  5. Step 5: Solve for x
    x = 28,031,555,182.10/209,243.92
  6. Step 6: Final answer
    x = 133,965.92

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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.