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Finding the Fourth Proportional to 217,018.57, 299,589.42 and 144,542

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Solution

The fourth proportional to 217,018.57, 299,589.42 and 144,542 is: 199,537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,018.57 : 299,589.42 = 144,542 : x
  2. Step 2: Convert to fraction form
    217,018.57/299,589.42 = 144,542/x
  3. Step 3: Cross multiply
    217,018.57x = 299,589.42 × 144,542
  4. Step 4: Simplify right side
    217,018.57x = 43,303,253,945.64
  5. Step 5: Solve for x
    x = 43,303,253,945.64/217,018.57
  6. Step 6: Final answer
    x = 199,537.09

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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.