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Finding the Fourth Proportional to 165,020.50, 227,728.49 and 89,569

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Solution

The fourth proportional to 165,020.50, 227,728.49 and 89,569 is: 123,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,020.50 : 227,728.49 = 89,569 : x
  2. Step 2: Convert to fraction form
    165,020.50/227,728.49 = 89,569/x
  3. Step 3: Cross multiply
    165,020.50x = 227,728.49 × 89,569
  4. Step 4: Simplify right side
    165,020.50x = 20,397,413,120.81
  5. Step 5: Solve for x
    x = 20,397,413,120.81/165,020.50
  6. Step 6: Final answer
    x = 123,605.33

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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.