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Finding the Fourth Proportional to 20,143.69, 30,083.79 and 17,150.21

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Solution

The fourth proportional to 20,143.69, 30,083.79 and 17,150.21 is: 25,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.69 : 30,083.79 = 17,150.21 : x
  2. Step 2: Convert to fraction form
    20,143.69/30,083.79 = 17,150.21/x
  3. Step 3: Cross multiply
    20,143.69x = 30,083.79 × 17,150.21
  4. Step 4: Simplify right side
    20,143.69x = 515,943,316.10
  5. Step 5: Solve for x
    x = 515,943,316.10/20,143.69
  6. Step 6: Final answer
    x = 25,613.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.