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Finding the Fourth Proportional to 30,086, 41,505.62 and 18,142.71

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Solution

The fourth proportional to 30,086, 41,505.62 and 18,142.71 is: 25,029.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,086 : 41,505.62 = 18,142.71 : x
  2. Step 2: Convert to fraction form
    30,086/41,505.62 = 18,142.71/x
  3. Step 3: Cross multiply
    30,086x = 41,505.62 × 18,142.71
  4. Step 4: Simplify right side
    30,086x = 753,024,427.03
  5. Step 5: Solve for x
    x = 753,024,427.03/30,086
  6. Step 6: Final answer
    x = 25,029.06

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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.