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Finding the Fourth Proportional to 209,694.89, 289,391.06 and 157,919.29

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Solution

The fourth proportional to 209,694.89, 289,391.06 and 157,919.29 is: 217,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,694.89 : 289,391.06 = 157,919.29 : x
  2. Step 2: Convert to fraction form
    209,694.89/289,391.06 = 157,919.29/x
  3. Step 3: Cross multiply
    209,694.89x = 289,391.06 × 157,919.29
  4. Step 4: Simplify right side
    209,694.89x = 45,700,428,491.00
  5. Step 5: Solve for x
    x = 45,700,428,491.00/209,694.89
  6. Step 6: Final answer
    x = 217,937.73

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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.