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Finding the Fourth Proportional to 115,242, 172,863 and 27,690

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Solution

The fourth proportional to 115,242, 172,863 and 27,690 is: 41,535

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,242 : 172,863 = 27,690 : x
  2. Step 2: Convert to fraction form
    115,242/172,863 = 27,690/x
  3. Step 3: Cross multiply
    115,242x = 172,863 × 27,690
  4. Step 4: Simplify right side
    115,242x = 4,786,576,470
  5. Step 5: Solve for x
    x = 4,786,576,470/115,242
  6. Step 6: Final answer
    x = 41,535

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.