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Finding the Fourth Proportional to 209,982.92, 289,765.96 and 119,326.91

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Solution

The fourth proportional to 209,982.92, 289,765.96 and 119,326.91 is: 164,665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,982.92 : 289,765.96 = 119,326.91 : x
  2. Step 2: Convert to fraction form
    209,982.92/289,765.96 = 119,326.91/x
  3. Step 3: Cross multiply
    209,982.92x = 289,765.96 × 119,326.91
  4. Step 4: Simplify right side
    209,982.92x = 34,576,874,882.84
  5. Step 5: Solve for x
    x = 34,576,874,882.84/209,982.92
  6. Step 6: Final answer
    x = 164,665.18

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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.